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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, )
 Jump to a New ChapterIntroduction to the SAT IIIntroduction to SAT II Math ICStrategies for SAT II Math ICMath IC FundamentalsAlgebraPlane GeometrySolid GeometryCoordinate GeometryTrigonometryFunctionsStatisticsMiscellaneous MathPractice Tests Are Your Best Friends
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