Graphing with a Calculator: Worksheet Solutions, Assignments of Mathematics

Solutions to graphing problems using a calculator for a college mathematics course. It covers using buttons like 'y=', 'window', 'graph', 'trace', and '2nd calc zero' to graph functions, determine intercepts and roots, and find minimum and maximum values.

Typology: Assignments

Pre 2010

Uploaded on 10/01/2009

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Worksheet #1 - Graphing with the Calculator
January 9, 2006
During the semester, you will be expected to be able to use your calculator in
numerous ways. The calculator will be one of the tools that you will be using to
solve many of the problems in this course. It is very important that you start now
in learning the different features of your calculator.
You will also be expected to answer questions in this course with complete
sentences. Answers need not be a novel, but a good complete sentence or two that
answers the question.
Work sheets and homework can be done in groups. Having the right answers
on your paper is not important - knowing how to solve problems correctly is.
Problem #1 - Buttons
“Y=” This screen lets you enter different functions to be graphed. Enter
x212x+ 20 for Y1. What button did you have to use the variable X?
“Window” This screen lets you enter the window that will be displayed.
If you don’t get the window correct, you will not see you graph. Enter
Xmin =5, X max = 5, Y min = 0, and Y max = 40.
“Graph” This button will draw the graph of the functions that you have
entered. Again, your viewing window might need to be altered.
The graph of the function y=x212x+ 20 is a parabola. Change your
viewing window so you can tell the graph is a parabola.
What are the new values of Xmin, X max, Y min and Y max that you are
using?
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Worksheet #1 - Graphing with the Calculator

January 9, 2006

During the semester, you will be expected to be able to use your calculator in numerous ways. The calculator will be one of the tools that you will be using to solve many of the problems in this course. It is very important that you start now in learning the different features of your calculator. You will also be expected to answer questions in this course with complete sentences. Answers need not be a novel, but a good complete sentence or two that answers the question. Work sheets and homework can be done in groups. Having the right answers on your paper is not important - knowing how to solve problems correctly is.

Problem #1 - Buttons

  • “Y=” This screen lets you enter different functions to be graphed. Enter x^2 − 12 x + 20 for Y 1. What button did you have to use the variable X?
  • “Window” This screen lets you enter the window that will be displayed. If you don’t get the window correct, you will not see you graph. Enter Xmin = −5, Xmax = 5, Y min = 0, and Y max = 40.
  • “Graph” This button will draw the graph of the functions that you have entered. Again, your viewing window might need to be altered.
  • The graph of the function y = x^2 − 12 x + 20 is a parabola. Change your viewing window so you can tell the graph is a parabola.
  • What are the new values of Xmin, Xmax, Y min and Y max that you are using?

Problem #2 - More Buttons

  • Graph the function x^2 − 12 x + 20.
  • Press the “Trace” button. What is different about the screen?
  • Press the left and right arrows. What is this doing to the screen?
  • Type the number 3 and then press ”Enter”. What did this do?
  • What is the definition of the y-intercept of a function? What is the y- intercept of this function? How did you determine its value?
  • What is the definition of a root of a function? How many roots does this function have? Use the “2nd Calc Zero” procedure to approximate one of the roots. This might the exact value of the root, but it might be an approximation.
  • This parabola has a lowest value. It is located at the vertex of the parabola. Use the “2nd Calc Minimum” procedure to approximate the location of the vertex.

Problem #3 - Different Function

  • Graph the function y = 20xe−^0.^3 x. Use Xmin = 0 and Xmax = 20.
  • Write what you typed into the calculator for this function.
  • What are your values of Y min and Y max that let you see the entire graph?
  • What is the value of the function at x = 2? Is the function increasing or decreasing at x = 2?
  • What is the value of the function at x = 8? Is the function increasing or decreasing at x = 8?
  • Approximate the maximum value of this function? What is the x-value at this maximum point?