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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 Identifying the Graphs of Polynomial Functions 10.8 Review Questions 10.9 Explanations
Review Questions
 1. f(x) = ax and g(x) = bx. If fg(x) = 5x2 + 2, what is ab? (A) ab = 5x (B) ab = 5x + (C) ab = x2 (D) ab = 7x (E) Impossible to tell
 2. If f(x) = 2x and g(x) = , what is f–1(g–1(2))? (A) 0 (B) (C) 1 (D) (E) 2
 3. If f(x) = 2x – 3, g(x) = x + 1, h(x) = 3x, and g(f(3)) – h(x) = 1, what is x? (A) 0 (B) .5 (C) 1 (D) 1.5 (E) 2
 4. Which of the following lines are asymptotes of the graph y = 2? I. x = 2  II. y = 2 III. y = 0 (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III
 5. A portion of the graph of y = f(x) is shown in the figure below. Which of the following could be f(x)? (A) x4 + ax3 + bx2 + cx (B) x4 + ax2 + b (C) –x4 + ax3 + bx2 + cx + d (D) x3 + ax2 + bx + c (E) x4 + b2x2 + c2
 6. Suppose f(x) = –f(–x). Which of the following could be the graph of y = f(x)? (A) (B) (C) (D) (E)
 7. What is the maximum value of the function f(x) = 10 – 2(x – 3)(x + 3)? (A) –28 (B) –8 (C) 0 (D) 8 (E) 28
 8. If f: (x, y) = (x – y, x + y) for every pair (x, y) in the plane, for what points (x, y) is it true that (x, y) = (x, y)? (A) (0, 0) only (B) The set of points (x, y) such that x = 0 (C) The set of points (x, y) such that y = 0 (D) The set of points (x, y) such that x = y (E) The set of points (x, y) such that 2x = y
 Jump to a New ChapterIntroduction to the SAT IIContent and Format of the SAT II Math IICStrategies for SAT II Math IICMath IIC FundamentalsAlgebraPlane GeometrySolid GeometryCoordinate GeometryTrigonometryFunctionsStatisticsMiscellaneous MathPractice Tests Are Your Best Friends
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