Scientific Calculator Basics Document Now Available

Scientific Calculator Basics Document Now Available

If you are new to scientific calculators, ever wondered what the [sin], [log], and [e^x] keys actually mean, or want a refresher on the basics: then this tutorial is for you.

The document convers common scientific functions such as:

* Typing in large and small numbers by using scientific notation

* Calculating powers and roots

* Logarithms and anti-logarithm functions

* Trigonometric functions, such as sine, cosine, and tangent; along with their inverses

* Basic statistic and linear regression calculations

* How to enter fractions and numbers in degrees-minutes-seconds formats

* How to convert integers between binary, octal, decimal, and hexadecimal

This document covers a variety of scientific calculators, aimed at infix algebraic (two or multi-line scientific) calculators.

Download Scientific Calculator Basics (Infix Algebraic Notation) Here

Eddie

All original content copyright, © 2011-2018.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.  Please contact the author if you have questions.

HP Prime: TrigPlot App (HP Prime Custom app Tutorial)

HP Prime: TrigPlot App  (HP Prime Custom app Tutorial)

Introduction

Here is another example custom app, the TrigPlot, which plots the following equation:

y = A * sin(Bx + C) + D * cos(Ex + F) + G * sin(Hx + I)^2 + J * cos(Kx + L)^2

where all angles are in radians.  The app uses the global variables A through L. 

Keys

[ Num ]:  The user enters values for A – L.  They must be real (not complex or have a √(-1) component)

[ Plot ]:  Enter plot parameters and choose the color of the plot (purple, blue, green, gold, red).  The plot is against a black background.

[ View ], Erase A-L:  Sets the variables A through L to 0 (zero).

[ Info ]:  Displays information about the app

Notes

The Info section introduces the user to the app’s concept:

Info()

BEGIN

// This is when the user presses

// Shift+Apps (Info), use Print

// commands

PRINT();

PRINT("TrigPlot App");

PRINT("------------");

PRINT("By Edward Shore");

PRINT("------------");

PRINT("This app plots the equation");

PRINT("Y = A*SIN(B*X+C) + D*COS(E*X+F) +");

PRINT("G*SIN(H*X+I)^2 + J*COS(K*X+L)^2");

PRINT("------------");

PRINT("February 2018");

END;

To ensure the app always runs in Radians mode, I store the value 1 to AAngle during startup (START).  In addition, I added the Info(); to show the Info screen.

START()

BEGIN

// This happens when the app is started.

// Set the app to radians angle mode.

AAngle:=1;

// This is a specific app mode setting

// unlike HAngle

// Also run the Info screen

Info();

END;

The Plot portion of app is based on the Pixel Plot program (see http://edspi31415.blogspot.com/2018/02/hp-prime-pixel-plot-how-to-change.html ) where pixels are plotted.

HP Prime Program:  TrigPlot (in app TrigPlot)

#pragma mode( separator(.,;) integer(h32) )

//Symb()

//BEGIN

// MSGBOX("Symb");

//END;

Plot()

BEGIN

// runs the Plot routine

// set color scheme

LOCAL col1;

col1:={#BF00FFh,#7DF9FFh,

#00FF00h,#D4AF37h,#FF0000h};

// Radians

HAngle:=0;

// localize variables

LOCAL xm,xn,ym,yn;

LOCAL xs,ys,xp,yp;

LOCAL x,y,ch;

// input screen

INPUT({

xm,xn,ym,yn,

{ch,

{"Purple","Blue","Green",

"Gold","Red"}}},

"TrigPlot Setup: Plot",

{"x-min: ","x-max: ",

"y-min: ","y-max: ",

"Color: "});

// set black background

RECT_P(0);

// calulate the scale

xs:=(xn-xm)/320;

ys:=(yn-ym)/−220;

// drawing

// color choice

LOCAL c1:=col1[ch];

// axis information

LOCAL st1,st2;

st1:="x:["+xm+","+xn+"]";

st2:="y:["+ym+","+yn+"]";

TEXTOUT_P(st1,0,0,2,#C0C0C0h);

TEXTOUT_P(st2,0,20,2,#C0C0C0h);

// function

FOR x FROM xm TO xn STEP xs DO

// function

y:=A*SIN(B*x+C)+D*COS(E*x+F)+

G*SIN(H*x+I)^2+J*COS(K*x+L)^2;

// point→pixel, plot

xp:=(x-xm)/xs;

yp:=(y-yn)/ys;

PIXON_P(xp,yp,c1);

END;

// freeze screen

FREEZE;

END;

Num()

BEGIN

// This is where all the variables are

// entered, in one easy spot. A-L are

// global in this application.

INPUT({A,B,C,D,E,F,G,H,I,J,K,L},

"TrigPlot Variables");

END;

//SymbSetup()

//BEGIN

// MSGBOX("SymbSetup");

//END;

//PlotSetup()

//BEGIN

// MSGBOX("PlotSetup");

//END;

//NumSetup()

//BEGIN

// MSGBOX("NumSetup");

//END;

Info()

BEGIN

// This is when the user presses

// Shift+Apps (Info), use Print

// commands

PRINT();

PRINT("TrigPlot App");

PRINT("------------");

PRINT("By Edward Shore");

PRINT("------------");

PRINT("This app plots the equation");

PRINT("Y = A*SIN(B*X+C) + D*COS(E*X+F) +");

PRINT("G*SIN(H*X+I)^2 + J*COS(K*X+L)^2");

PRINT("------------");

PRINT("February 2018");

END;

START()

BEGIN

// This happens when the app is started.

// Set the app to radians angle mode.

AAngle:=1;

// This is a specific app mode setting

// unlike HAngle

// Also run the Info screen

Info();

END;

//RESET()

//BEGIN

//MSGBOX("RESET");

//END;

//VIEW "Views", Views()

//BEGIN

// MSGBOX("Views");

//END;

VIEW "Erase A-L", ERASEAL()

BEGIN

A:=0; B:=0; C:=0; D:=0; E:=0; F:=0;

G:=0; H:=0; I:=0; J:=0; K:=0; L:=0;

END;

Examples

Example 1:  y = 2 sin(x + 2) – 3 cos x

A = 2, B = 1, C = 2, D = -3, E = 1 (the rest are zero)

Example 2:  y = 2 cos(2x) + 1.5 * cos^2 x

D = 2, E = 2, J = 1.5, K = 1 (the rest are zero)

Eddie

This blog is property of Edward Shore, 2018.

Sharp EL-738: A Short Tutorial

Sharp EL-738:  A Short Tutorial

This is a short tutorial on how to use some of the common features of the Sharp EL-738 financial calculator.  There was a request for a video tutorial in the comments, however given the time frame I am able to work with, I think I can write a tutorial and cover more faster.  So hope this helps!

The full manual is here:  http://sharpcalculators.com/images/Manuals/Financial/EL738F_Manual_Branded.pdf

To see my review back in August last year, click here:

http://edspi31415.blogspot.com/2015/08/review-sharp-el-738f-financial.html

Let’s get to it.

Set Decimal Settings

To Fix 2 Mode:  [SET UP], 0 (DSP), 0 (TAB), 2

To Float (B) Mode:  [SET UP], 0 (DSP), 3 (FLO_A)

The difference between FLO_A (option 2) and FLO_B is the limit of how small a number can be before the calculator switches to scientific notation.  .000000001 for A and .01 for B.

Time Value of Money

To set the number of payments:  press [2ndF] [I/Y] (P/Y).  Enter the payments per year and press [ENT].  You can enter compounding periods (C/Y) per year separately. 

Toggle Begin/End Mode:  [2ndF] [ FV ] (BGN/END).  Beginning mode is indicated by “BGN” in the display.

Clear the Financial registers:  [2ndF] [MODE] (CA).  Caution: This sets the P/Y to its default value of 1. 

Calculation:  Enter each of the date and press the appropriate financial variable (N, I/Y, PV, PMT, or FV).  To calculate, press [COMP] then the financial variable. 

Example:  Find the monthly payment of a $160,000 loan to be paid back in 15 years with 3.5% interest. 

If not already, set P/Y to 12 and calculator to END mode (see the above).

160000 [ PV ]

15 [2ndF] [ N ] (xP/Y) [ N ] 

3.5 [I/Y]

0 [ FV ]

[COMP] [PMT]

Result:  -1143.81

Amortization

Press [AMRT].   Enter the first period (P1) then press [ENT].  Scroll down [ ↓ ] and enter the second period (P2) then press [ENT].  Scroll down for the following results (calculated automatically):  BALANCE, ΣPRINCIPAL (amount of principal paid in period range specified), ΣINTEREST (amount of interest paid in period range specified).

Take the last example and set P1 to 1 and P2 to 24.  After two years:

[AMRT] 1 [ENT] [ ↓ ]

24 [ENT] [ ↓ ]

Result:  BALANCE:  143,191.61   [ ↓ ]

Result:  ΣPRINCIPAL = -16808.39  [ ↓ ]

Result:  ΣINTEREST = -10643.05

Days Between Dates

Press [DATE].   M-D-Y 1 represents the beginning date.  M-D-Y 2 represents the ending date.  DAYS is the number of days between the two dates.  This assumes the U.S. date system is set up.

Scroll up and down.  Enter two of the three variables and press [COMP] to solve for the third.

Example:  A bond is issued on 7/1/2016. The bond is to be repaid in 120 days.  When is the bond supposed to be repaid?  Assume an actual calendar.  ([2ndF] [COMP] (360/ACT) toggles calendar counting mode)

[DATE]

For M-D-Y 1:  07, 01, 2016 [ENT]

[ ↓ ], [ ↓ ]

For DAYS:  120 [ENT]

[ ↑ ] to M-D-Y 2, press [COMP]

Result:  10/29/2016

Cash Flows

To clear all cash flows:  Press [2ndF] [ENT] (CLR-D).  I also recommend setting P/Y to 1 (pressing [2ndF] [MODE] (CA) will do it)

To enter cash flows:  Enter the cash flow, press [ ENT ].  (Don’t be in any menu or worksheet)

To enter cash flows with frequency greater than 1:  Enter the cash flow, press [(x,y)], enter the frequency, press [ ENT ].

To calculate NPV (net present value):  press [2ndF] [CFi] (CASH).  Enter the periodic rate at the RATE(I/Y)=, press [ENT], then [ ↓ ], and press [COMP] at the NET_PV prompt.

To calculate IRR (initial rate of return):  press [2ndF] [CFi] (CASH).  Press [COMP] at the RATE(I/Y)= prompt.   For this purpose, ignore the NET_PV register.

Example:   Calculate the NPV and IRR of the following cash flows:

Flow #	Amount
CF0	-$10,000
CF1	$5,000
CF2	$2,000
CF3	$5,000

For NPV, assume a return rate of 10%.

Cash Flows:

[2ndF] [MODE] (CA)

[2ndF] [ENT] (CLR-D)

10000 [+/-] [ENT]   (Display:  DATA SET: CF 0.00)

5000 [ENT] (Display:  DATA SET: CF 1.00 (and so on))

2000 [ENT]

5000 [ENT]

Net Present Value:

[2ndF] [CFi] (CASH)

RATE I/Y=:  10 [ENT]

[ ↓ ]

NET_PV=:  [COMP]

Result:  -45.08

Internal Rate of Return:

[ ↑ ]

RATE(I/Y)=:   [COMP]

Result:  9.74

Some quick instructions about depreciation and statistics:

Depreciation

The EL-738 has three depreciation modes:  Straight Line (SL), Sum of the Years Digits (SYD), and Declining Balance (DB).  To change the depreciation mode, press [SETUP], 2 and then:

0 for SL, 1 for SYD, 2 for DB.

To the Depreciation worksheet:  Press [DEPR].

Mode:  If the Declining Balance Deprecation Mode is set, enter the rate (for 200%, enter 200, press [ENT])  [ ↓ ]

Life (N):  Enter the number of years of the life of the asset, [ENT], [ ↓ ]

Start Month:  Enter the month when the asset is acquired (1 = January, 2 = February, etc), [ENT], [ ↓ ]

COST (PV): Cost of the asset, [ENT], [ ↓ ]

SALVAGE (FV):  Salvage value of the asset, [ENT], [ ↓ ]

YEAR=  Enter year of depreciation that you want to analyze, [ENT], [ ↓ ].

The next three lines are calculated: DEPRECIATE (the deprecation for the year, RBV (remaining book value), RDV (remaining depreciation value)

Statistics

To enter statistics mode, press [MODE], 2.  Select statistics type:

0:  SD, single variable

1:  LINE: linear regression, y = a + bx

2:  QUAD: quadratic regression, y = a + bx + cx^2

3:  EXP:  exponential regression, y = a * e^(bx)

4:  LOG:  logarithmic regression, y = a + b * ln x

5:  PWR:  power regression, y = a * x^b

6:  INV:  inverse regression, y = a + b/x

Clearing Data:  [2ndF] [DATA] (CLR D)

Entering Data:  x [(x,y)] y/freq [ENT] (DATA)

Recall variables:  [ALPHA] [(appropriate key)] [ = ]

Examples:

Mean:  μx: [ALPHA], 4;  μy: [ALPHA], 7

Sample Deviation:  sx: [ALPHA], 5; sy:  [ALPHA], 8

Regression variables a, b, c, r:  [ALPHA] [ ÷ ], [ DEL],. [ × ], [ ( ], respectively

  

You can find detailed instructions for the other operations (cost/sell/margin worksheet, Δ% worksheet, bond worksheet, depreciation, scientific functions), plus more examples, in the manual:  http://sharpcalculators.com/images/Manuals/Financial/EL738F_Manual_Branded.pdf

This blog is property of Edward Shore, 2016.

HP Prime: The EXECON Command Tutorial

HP Prime:  The EXECON Command Tutorial

The EXECON Command

The EXECON creates a new list based on the elements in one or more lists by given an operation.  You can create any expression.  The list returned may or may not be the same length of the original lists.

The general syntax is:

EXECON( expression, list 1, [list 2], [list 3], …)

You can use more than one list. The expression is set in quotes.  To use the list elements, call up the ampersand (&).   Call up the ampersand symbol by pressing [ Shift ], [ 9 ] (and choose the ampersand).   Example expressions include “&1+&2” and “&1^3”. 

On this tutorial we will use EXECON for specific situations. 

Calling the EXECON Command

You can call the EXECON command from the Catalog or in the Programming editing mode by selecting (Cmds), 7 for More, 8 for EXECON (version 10077). 

For the tutorial set L1 and L2 as:

L1 = {1, 2, 3, 4, 5}

L2 = {2, 4, 6, 8, 10}

Situation 1:  Operate on each member of a list.

Your expression string will contain &1 any time you want to reference the list.  EXECON executes the function f(&1, any constants).  As a reminder, you can get the ampersand symbol by pressing [ Shift ], 9, and then selecting it from the character table.

Example 1:  Take the cube of each element of L1.

Syntax:  EXECON(“&1^3”, L1)

Results:  {1, 8, 27, 64, 125}

Example 2:  Apply the function 2*e^x – x to each element of L1.

Syntax:  EXECON(“2*e^(&1)-&1”,L1)

Results (to 5 decimal places): {4.43656, 12.77811, 37.17107, 105.19638, 291.82632}

Situation 2:  Operate a function for two lists, element by element.

Include &1 for the first list and &2 for the second list.  This is going to the resulting list:

{ f(&1(1), &2(1)),  f(&1(2), &2(2)),  f(&1(3), &2(3)), … , f(&1(n), &2(n)) }

You can extend this to three lists or more by adding &3, &4, etc… up to nine lists. 

The order of arguments are important. 

EXECON(“&1/&2”, L1, L2) returns {0.5, 0.5, 0.5, 0.5, 0.5}

EXECON(“&1/&2”, L2, L1) returns {2, 2, 2, 2, 2}

Situation 3:  Condensing a List by operating on two or more elements.

Here we are going to use one list.  To execute an operation on two consecutive elements, use &1 and &2.  Remember, we are only using one list.  In this context, &1 and &2 represent neighboring elements.  Hence:

Input:   {a1, a2, a3, a4, …. , a_n-2, a_n-1, a_n}

Output:  { f(a1, a2), f(a2, a3), f(a3, a4), … , f(a_n-2, a_n-1), f(a_n-1, a_n)}

Example:  EXECON(“&1*&2”, L1) returns {2, 6, 12, 20}

To execute an operation for elements two apart, use &1 and &3. 

Input:   {a1, a2, a3, a4, …. , a_n-2, a_n-1, a_n}

Output:  { f(a1, a3), f(a2, a4), f(a3, a5), … , f(a_n-2, a_n)}

Example:  EXECON(“&1*&3”, L1) returns {3, 8, 15}

If you want to execute an operation on three consecutive elements, use &1, &2, and &3.

Input:   {a1, a2, a3, a4, …. , a_n-2, a_n-1, a_n}

Output:  { f(a1, a2, a3),  f(a2, a3, a4), … , f(a_n-2, a_n-1, a_n) }

Example:  EXECON(“&1*&2*&3”, L1) returns {6, 24, 60}

Situation 4:  Starting at specific position of the list.  (up to 9 lists, to the start point of the 9^th element)

To start at a specific element later in the list, use the syntax &mn,  the mth list, the nth element.

Example 1:

EXECON(“&13 + &2”, L1, L2) will operate on the following elements:  {3, 4, 5} from L1 (starting at the 3^rd element) and {2, 4, 6} from L2.    The result will be {5, 8, 11}.

Example 2:

EXECON(“&1 * &22”, L1, L2) will operate on the following elements:  {1, 2, 3, 4} from L1 and {4, 6, 8, 10} from L2 (starting from the 2^nd element).  The result is {4, 12, 24, 40}.

Please refer to the illustration below.

This is a basic demonstration of EXECON.  I hope you found this tutorial useful.   Until next time,

Eddie

This blog is property of Edward Shore, 2016.

HP Prime: The Basics of Graphing (Function App)

HP Prime: The Basics of Graphing (Function App)

Over the last few days, I have seen requests for a tutorial of how to graph functions.  I myself received a request to do one.  

This tutorial assumes that are using the most updated version of the HP Prime.   Be aware there has not been an update on the iOS version yet (last version is 9069 as of 5/1/2016). 

7/27/2016 Update:   Sadly, version 10077 has been pulled due to issues and HP decided to take it off out of caution.  The latest firmware is back to 8151.  :(  Affected areas will be deleted.  Apologizes for any inconvenience.  (yes, this sucks)

http://www.hpmuseum.org/forum/thread-6085-post-57343.html#pid57343

We are going to work with the Function App.  Let’s get started.

The Three Main App Keys

[Symb]:  The Symb screen is where you enter up to ten functions, which are defined F1 to F9, then F0. 

[Shift] [Symb]:  You can change the angle measure, number format, and complex number format to be specific to the Function App.  I usually just leave all three set at System (to borrow from System settings from Home Settings)

[Plot]:  The Plot screen is the graph screen.  You may drag the screen to view different parts of the graph. 

[Shift] [Plot]:  This is where you set up the plot screen, where you set the screen’s horizontal boundaries (X Rng), the screen’s vertical boundaries (Y Rng), the tick marks (X Tick, Y Tick).  Scrolling down to page 2, you can turn on or off Axes, Labels, grid dots, and grid lines.  You have other options such as cursor and method options.  With the 10077 firmware, you can set the background if desired. 

For this tutorial, I will have the background turned off.

[Num]:   This will display a numerical table.  (X, F1, F2,…). 

[Shift] [Num]:  Set table options

Plotting Functions

Entering Functions on the Symb Screen

(Defining the function F(1)=X^2+3*X-1 and plotting it)

1.  Press the [Symb] screen.  

Note:  If you want to clear all the functions that are defined, press [Shift] [Esc] (Clear) and press the soft key (OK) to the “Clear all expressions?” prompt.

2.  Enter your function.  The independent variable is the capital X.  Press [Enter] or the soft key (OK) when you are done.

3.  To plot the function, press the [Plot] key. 

Note: You can change a function’s color.  To do so, select the color box to the left of the function and press either [Enter] or the (Choose) soft key.  You can then choose from any of the eight pre-selected colors or a custom color (lower-right square on the color palette). 

Setting Easy Graphing Plot Setups

On the Plot screen, you can select pre-programmed plot setups:  Autoscale (my favorite), Decimal, Integer, or Trig. 

For the screen shots below, cleared the functions then defined F1(X) = SIN(X) + COS(X) and set the calculator to Radian mode. 

 You can see the difference below (based on the example, results may vary depending on the functions defined):

Steps:

1.  Press the [View] key. 

2.  Select the desired zoom setup (options 3 – 6).

Using the Plot Setup Screen

You can also use the plot up screen to set up the boundaries.   To do this:

1.  Press [Shift] [Plot]. 

2.  To set the Horizontal edges, select the X Rng row.   The left box is the Xmin (x-minimum, left side) and the right box is Xmax (x-maximum, right side).

3.  To set the Vertical edges, select the Y Rng row.   The left box is the Ymin (y-minimum, bottom side) and the right box is Ymax (y-maximum, top side).

4.  If desired, you can set the tick marks of the grid.  To do this, change the X Tick and Y Tick. 

5.  If desired, you can press the page down soft key to turn axes, grid dotes, grid lines, and labels on or off.  Turning labels on will show the range values on the plot screen.

6.  To see the changes, press the [Plot] key. 

Note:  If you want to reset the graph screen to default settings, press [Shift] [Esc] (Clear).   The default settings are:  Xmin = -15.9, Xmax = 15.9, Ymin = -10.9, Ymax = 10.9, X Tick = 1, and    Y Tick = 1.

Setting the plot window as the following:  Xmin = 0, Xmax = 2*π ≈ 6.28318530718, Ymin = -2, Ymax = 2.

Tracing the Function

When you first graph functions, tracing is turned on automatically.  That is when you press the directional pad left and right, you follow the function.  If there are two or more functions plotted, you can press up or down to select which function you want to trace.

You can also turn off tracing to allow the cursor to roam freely, press the soft key (Menu) to call the menu.  Press the (Trace ) soft key to toggle the trace settings.   Note when the menu isn’t showing, you are seeing the coordinates of the cursor. 

*(Trace*):  Trace with the dot showing, trace is turned on.  The cursor follows functions.  The cursor shows the X and function values.

*(Trace ):   Trace without the dot showing, trace is turned off.  The cursor is in free roaming mode.  The cursor shows the X and Y values.

Center the Plot Screen to Where the Cursor is Located

1.  Move the cursor to wherever want to center the plot screen.  

2.  Press the (Menu) soft key to bring up the menu.   Press the (Zoom) soft key.

3.  Select Center on Cursor.  That is all there is to it.

Zoom Using a Box

Zoom using a box (F1(X) = 2*COS(X) – 1)

Steps:

1.  Plot the function (use the [Plot] key)

2.  Press the (Menu) soft key to bring up the menu.  Press the (Zoom) soft key.

3.  Select Box…   You will be prompted to select on corner of the box.  Press (OK) or [Enter].

4.  Then select the opposite corner.  You will see the area of zoom by a shaded box.  Once you are satisfied, press (OK) or [Enter].

5.  The plot screen is adjusted to the box you selected.

Move the Cursor to a Specific Position

You can send the cursor to a specific position.  This is a useful function if you need to go to a specific place.  All you have to do is press the (Go To) soft key.  You will be prompted for an X coordinate.

If Trace is turned on, the cursor moves to the X coordinate and the function value.  If Trace is turned off, you will be prompted for both the X and Y coordinates.

For information regarding Definition and Transformation, please see my post on the HP Prime 10077:  http://edspi31415.blogspot.com/2016/04/hp-prime-firmware-update-firmware-10077.html

Let’s explore some basic functions that you can operate on the Function app.

The Root of a Function

To find the root (zero of a function):

1.  On the Plot screen, have Trace turned on (see above).  Select your function.

2.  Press the (Fcn) soft menu and select Root. 

3.  The HP Prime finds the root that is closest to the cursor automatically. 

Integrals

To find the area under the curve (numerical integral):

1.  On the Plot screen, have Trace turned on and select your function.

2.  Press the (Fcn) soft menu and select Signed Area.

3.  Enter the lower limit.  You can use the directional pad or enter a specific X value.

4.  Enter the upper limit.  You can use the directional pad or enter a specific Y value.  Any area above the x-axis is shaded in green and area shaded below the y-axis is shaded in red.

5.  Press (OK) or [Enter].  The area is calculated. 

Derivative

1.  On the Plot screen, have Trace turned on (see above).  Select your function.

2.  Press the (Fcn) soft menu and select Slope. 

3.  The HP Prime displays the slope (derivative) automatically.  You can trace the function to display the slope at other points. 

Intersection of Two Functions (or a Function and an Axis)

1.  On the Plot screen, have Trace turned on (see above).  Select your (first) function, and place the cursor close to the intersection as possible.

2.  Press the (Fcn) soft key and select Intersection. You will be prompted to select the second function or an axis.

3.  The intersection should be displayed. 

Note:  Make sure that the cursor is close to the intersection you want.  Otherwise, the function may not return an answer.

This covers some of the basics of the Function App.  There is a lot more to explore of this app.  

Eddie

This blog is property of Edward Shore, 2016.