Table of Contents
Number 1: A table of x and y values. 2
Number 2: The x and y-intercepts. 3
Number 3 and 4: domain and range. 4
Repeat using the Examples Given. 5
Question a: where V is any Real numbers. 5
Question b: where K is any Real numbers. 5
Linear function Application. 7
Solve the system: linear function. 7
Opinion on the graphing calculator 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-intercepts
Step 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 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: where V is any Real numbers
Let f(x) = an exponential function with a > 1.
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: where K is any Real numbers
Let f(x) = Kx logarithmic function with a > 1.
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 is horizontal asymptote and that of is vertical asymptote.
Part 2
Linear function Application
Opinion on the graphing calculator
I consider that the graphing calcutator is vital in handling some of the mathematical calculations. 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
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