xChapter 1 Day #6 ­ Domain and Range (1.1.3) Notes.notebook
August 24, 2016
Chapter 1 Day #6
Domain and Range
Section 1.1.3 Objectives: 1. Students will identify the domain and range of continuous and step functions while improving their graphing calculator skills.
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xChapter 1 Day #6 ­ Domain and Range (1.1.3) Notes.notebook
August 24, 2016
Jerrod and Sonia are working with their team to put the function machines in order.
a. Jerrod first put an input into the function g(x) and got an output of ­16. He wanted to try f(x) as his next function in the order, but he think there might be a problem using ­16 as an input. Is there a problem? Explain. b. Give two other values that would cause a problem.
c. The DOMAIN is the set of all possible values for x. Describe the domain of f(x). Jerrod and Sonia are working with their team to put the function machines in order.
d. Sonia claimed that g(x) could not be the last function in the order. She justified her thinking by saying "Our final output has to be 11, which is a positive number. The function g(x) will always make its output negative, so it can't come last in the order." Does Sonia's logic make sense? How did she know the output of g(x) would never be positive?
e. The RANGE is the set of all possible values for y. Describe the range of g(x).
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xChapter 1 Day #6 ­ Domain and Range (1.1.3) Notes.notebook
August 24, 2016
Formal Notation:
Use your graphing calculator to help you draw a complete graph of a. Describe the graph completely.
b. Write down the window setting needed for your graphing calculator in order to see the entire graph.
c. Give the domain and range of the graph.
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xChapter 1 Day #6 ­ Domain and Range (1.1.3) Notes.notebook
August 24, 2016
Now you will reverse your thinking to create a graph with a given domain and range. Sketch a function that has a Domain: {all Reals, } and Range: {all Reals, }. Try One with Your Team. Sketch a function that has a Domain: {all Reals, } and Range: {all Reals, }. 4
xChapter 1 Day #6 ­ Domain and Range (1.1.3) Notes.notebook
August 24, 2016
How can we use a graphing calculator to help us find the solution to a system of equations? Consider the system
a. Graph both equations. Can you see their intersection point?
b. Discuss a window setting with your team. What setting did you team use?
c. Calculate the intersection point.
d. Solve this system algebraically.
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