Using Graphing Calculator

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Table of Contents

TOC o “1-3” h z u HYPERLINK l “_Toc416649490” Introduction PAGEREF _Toc416649490 h 2

HYPERLINK l “_Toc416649491” Part 1 PAGEREF _Toc416649491 h 2

HYPERLINK l “_Toc416649492” Number 1: A table of x and y values PAGEREF _Toc416649492 h 2

HYPERLINK l “_Toc416649493” Number 2: The x and y-intercepts PAGEREF _Toc416649493 h 3

HYPERLINK l “_Toc416649494” Number 3 and 4: domain and range PAGEREF _Toc416649494 h 4

HYPERLINK l “_Toc416649495” Repeat using the Examples Given PAGEREF _Toc416649495 h 5

HYPERLINK l “_Toc416649496” Question a: where V is any Real numbers PAGEREF _Toc416649496 h 5

HYPERLINK l “_Toc416649497” Question b: where K is any Real numbers PAGEREF _Toc416649497 h 5

HYPERLINK l “_Toc416649498” Analysis and Observation PAGEREF _Toc416649498 h 6

HYPERLINK l “_Toc416649499” Part 2 PAGEREF _Toc416649499 h 7

HYPERLINK l “_Toc416649500” Linear function Application PAGEREF _Toc416649500 h 7

HYPERLINK l “_Toc416649501” Solve the system: linear function PAGEREF _Toc416649501 h 7

HYPERLINK l “_Toc416649502” Opinion on the graphing calculator PAGEREF _Toc416649502 h 8

Introduction

This paper shows the procedures of using a graphing calculator to get the values of functions as well as to handle a linear programing equation. A step by step analysis of how to use the graphing calculator will also be noted in the study

Part 1

Number 1: A table of x and y values

First step: type the function on the calculator

Step 2: Got to the + icon on the left side of the calculator and click on it, then use the drop down to get to the table icon click on it and get the value done.

Image: enter value of x and y

Number 2: The x and y-interceptsStep 1 :  

Observe the given straight line and note down the values of the coefficients and constants.

Step 2 :  

To find x-intercept:

Put y=0 in the given equation and then solve for x using inverse-operation.

The x-intercept is ( x value , 0 ).

To find y-intercept:

Put x=0 in the given equation and then solve for y using inverse-operation.

The y-intercept is (0 , y-value ).

Number 3 and 4: domain and range

Enter the function in your graphing calculator’s function menu. On the calculator model, press “Menu” and select “Graph.” On a TI-84 plus or related model, press “Y=.” On the calculator, hold the left shift button and then press “F1”. Then, press “F2” to enter a function.

View the graph of the function. On the calculator, press “F6” after entering your function. On the calculator, press “Graph.” On the calculator, press “F6” after entering the function. Sometimes, you can get a sense of the domain and range just by looking at the graph. For example, the function y=x^2 is a parabola with a vertex at the origin. Its domain is all real numbers, and its range is from zero to infinity.

Trace the function. On the calculator, press “Shift” and “F1.” Then select “Trace.” On the calculator, press “Trace.” On the calculator, press “F3.” This feature will give you a sense of the general behavior of the function. For example, the y values of y=log(x) tend towards negative infinity as x goes to zero. Because x never equals zero, the domain of the function is all positive real numbers. As you trace the function and monitor y values, you will notice that the range includes all real numbers.

Look at the table of values for your graph. On the calculator, press “Exe” while tracing the line. This command will store values. Press “Optn” and then “F1” to view the table. On a the calculator plus, press “2nd” and then “Trace.” the calculator, press the left shift button and then “F6.” The table will help confirm the trends that you viewed while tracing the graph.

Repeat using the Examples Given

Question a: QUOTE where V is any Real numbers

Let f(x) = an exponential function with a > 1.

INCLUDEPICTURE “http://home.scarlet.be/math/exp.gif” * MERGEFORMATINET

From the graphs we see that

The domain is R

The range is the set of strictly positive real numbers

The function is continuous in its domain

The function is increasing if a > 1 and decreasing if 0 < a < 1

The y Intercept is a horizontal asymptote

Question b: QUOTE where K is any Real numbersLet f(x) = Kx logarithmic function with a > 1.

INCLUDEPICTURE “http://home.scarlet.be/math/log.gif” * MERGEFORMATINET

From the graphs we see that

The range is R

The domain is the set of strictly positive real numbers

The function is continuous in its domain

The function is increasing if a > 1 and decreasing if 0 < a < 1

The y-axis is a vertical asymptote

Analysis and Observation

The y intercept for QUOTE is horizontal asymptote and that of QUOTE is vertical asymptote.

Part 2Linear function Application

 Solve the system: linear function                                    INCLUDEPICTURE “http://mathbits.com/MathBits/TISection/Algebra1/linear17.gif” * MERGEFORMATINET

You will need to isolate the y variable in the second equation so that it can be entered into the calculator with the “shade above” indicated.

Solving algebraically, INCLUDEPICTURE “http://mathbits.com/MathBits/TISection/Algebra1/linear18.gif” * MERGEFORMATINET (be careful of the direction of the inequality symbol in this problem.)

The answer is the double shaded region on the graph.

  INCLUDEPICTURE “http://mathbits.com/MathBits/TISection/Algebra1/In4.jpg” * MERGEFORMATINET

INCLUDEPICTURE “http://mathbits.com/MathBits/TISection/Algebra1/In3.jpg” * MERGEFORMATINET

Opinion on the graphing calculatorI consider that the graphing calcutator is vital in handling some of the mathematical calcuations. However, it is sophisticated to use. For easy access and use of the calcutaor can be improved by offering a guide to assist its users.

Reference

HYPERLINK “http://www.Desmos.com” www.Desmos.com