B
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.
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) ℎ(𝑥) = √𝑥 4 − 2𝑥 2
2) 𝑓(𝑥) = −2𝑥 3 + 𝑥 2 + 5
For Questions 5 & 6, algebraically determine the domain of the functions.
3) 𝑔(𝑥) = √7 − 4𝑥
4) f (x) =
𝑥+5
2𝑥 2 −𝑥−6
5) The point (16, 4) on f ( x )  x transformed according to f ( x )  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)
B
−2𝑥 − 6, 𝑥 < −2
−5,
𝑥 = −2
For Question 7 – 10 use the following piecewise function:𝑓(𝑥) = {
2
−𝑥 + 6, − 2 < 𝑥 ≤ 3
7) State the domain of f __________________
8) Find the following values:
a) f (-1) = ______
10) Graph the function
b) f (-5) = _______
9) Find all x- and y- intercepts of the function
1
1
11) Describe the each transformation and graph the functions.
a) g ( x)  3( x  5) 2  7
b) g ( x) 
1
x2 6
2