College Algebra – Chapter 2 Exam Name _______________________________________
Directions: A calculator may NOT be used on this test. Show all work and reasoning to receive full credit.
A
Question 0 (1 point): If you could have any one superpower, what would it be and why? 
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For Questions 1 & 2, algebraically determine if the functions are even, odd, or neither. State any symmetry.
1) ( )
 
3 x
2  
9 2) ( )

2 x
3 
4 x
For Questions 5 & 6, algebraically determine the domain of the functions.
3)

2 x
2 x

2
 
15
4) ( )

5 2 x
5) The point (9, 3) on ( )
 x transformed according to ( )
 
2 x 1 3 would end up where?
6) Use the graph below to answer the following: a) State the domain and range of the graph. b) State intervals where the function is increasing and decreasing .
(0,0) (4.5,0)
(-1,-2) c) State any local maxima and minima .
(3,-4.5)

For Question 7 – 10 use the following piecewise function:
 

2 x 7, 7 x x
2
1,

6, 2 x
 
2 x 3
2
7) State the domain of f __________________
8) Find the following values: a) f (-1) = ______ b) f (-2) = _______
9) Find all x - and y - intercepts of the function
11) Describe the each transformation and graph the functions.
3 a) g ( x )

1
2 x

3

1 b) g ( x )
10) Graph the function
 
3
 x

2

2
1

5
1
A