Review Questions
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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