MTH302A: Algebra II Unit 3 lesson 13: Functions Unit Test

 

   

Graded Assignment

Unit Test, Part 2: Functions

Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for full credit.

(8 points)

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  1. Draw the graph of the function for the domain .

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(12 points)

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  1. Consider the function .

 

    1. Find the inverse of f(x) and name it g(x). Show and explain your work.

 

 

 

 

 

 

 

    1. Use function composition to show that f(x) and g(x) are inverses of each other.

 

 

 

 

 

 

 

    1. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

 

Your Score ___ of 20