Review Questions
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10.1 Characteristics of a Function
 
10.2 Evaluating Functions
 
10.3 Compound Functions
 
10.4 Inverse Functions
 
 
10.5 Domain and Range
 
10.6 Graphing Functions
 
10.7 Review Questions
 
10.8 Explanations
 
Review Questions
1. Which of the following sets is not a function?
(A) {(0, 1,), (0, 2,), (0, 3)}
(B) {(1, 0), (2, 0), (3, 0)}
(C) {(1, 1), (2, 2), (3, 3)}
(D) {(2, 3), (3, 1), (4, 0)}
(D) {(–1, 5), (0, 4), (1, 5)}
2. Suppose f(s, t) = 4s2 – 4st + t2, and f(3, t0) = 0. What is the value of t0?
(A) –6
(B) 0
(C) 3
(D) 6
(D) 12
3. Suppose f(x) = 5x. For which of the following functions g(x) is f/g(x) undefined at x = {1, 3}?
(A) g(x) = x2 – 3x –1
(B) g(x) = (x + 3)(x + 1)
(C) g(x) = x2 – 4x + 3
(D) g(x) = 3x + 1x
(D) g(x) = 3x3 + x2
4. What is the inverse of the function ?
(A)
(B)
(C) ( + 4)2
(D) – 4
(D)
5. What is the domain of the following function:
(A) All real numbers x such that x ≥ –3
(B) All real numbers x such that x ≥ –3, x ≠ 0
(C) All real numbers x such that x ≥ –3, x ≠ {–2, 4}
(D) All real numbers x such that x ≥ –3, x ≠ {–2, 0, 4}
(D) All real numbers x such that –3 ≤ x ≤ 4, x ≠ {–2, 0}
6. Suppose 3 < < 7. What is one possible value of |x|?
(A) –2
(B) 0
(C) 1
(D) 2
(D) 3
7. Which of the following graphs is a function?
(A)
(B)
(C)
(D)
(E)
8. What is the domain and range of the function pictured below?
(A) Range: real numbers; domain: x ≤ 4
(B) Range: y ≤ 4; domain: x ≤ 4
(C) Range: y ≠ 0; domain: real numbers
(D) Range: y ≤ 4; domain: x > 0
(D) Range: y ≤ 4; domain: real numbers such that x ≠ 0
9. The graph of the function f(x) = x2(x – 4)(x + 3)2(x + 7) has how many x-intercepts?
(A) 1
(B) 3
(C) 4
(D) 5
(D) 6
10. If u = (2, y) and v = (x, –4), for what (x, y) does 2u + 3v = (10, –12)?
(A) (–2, 4)
(B) (6, 0)
(C) (6, 12)
(D) (2, 0)
(D) (4, )
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