New SAT Math Workbook

Only in choice b does m 3 and b 12 wwwpetersonscom

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Unformatted text preview: before your answer. 1. If f(x) = x + 1 , and if the domain of x is the set {3,8,15}, then which of the following sets indicates the range of f(x) ? (A) {–4, –3, –2, 2, 3, 4} (B) {2, 3, 4} (C) {4, 9, 16} (D) {3, 8, 15} (E) {all real numbers} If f(a) = 6a – 4, and if the domain of a consists of all real numbers defined by the inequality –6 < a < 4, then the range of f(a) contains all of the following members EXCEPT: (A) –24 (B) (C) (D) (E) 3. 1 6 4. If f(x) = x 2 − 5 x + 6 , which of the following indicates the set of all values of x at which the function is NOT defined? (A) {x | x < 3} (B) {x | 2 < x < 3} (C) {x | x < –2} (D) {x | –3 < x < 2} (E) {x | x < –3} If f(x) = 3 x , then the largest possible domain of x is the set that includes (A) (B) (C) (D) (E) all non-zero integers. all non-negative real numbers. all real numbers except 0. all positive real numbers. all real numbers. 1 2. 5. 0 4 20 If the range of the function f(x) = x2 – 2x – 3 is the set R = {0}, then which of the following sets indicates the largest possible domain of x ? (A) {–3} (B) {3} (C) {–1} (D) {3, –1} (E) all real numbers www.petersons.com 256 Chapter 15 7. LINEAR FUNCTIONS—EQUATIONS AND GRAPHS A linear function is a function f given by the general form f(x) = mx + b, in which m and b are constants. In algebraic functions, especially where defining a line on the xy-plane is involved, the variable y is often used to represent f(x), and so the general form becomes y = mx + b. In this form, each x-value (member of the domain set) can be paired with its corresponding y-value (member of the range set) by application of the function. Example: In the function y = 3x + 2, if the domain of x is the set of all positive integers less than 5, then applying the function over the entire domain of x results in the following set of (x,y) pairs: S = {(1,5), (2,8), (3,11), (4,14)}. In addition to questions requiring you to solve a system of linear equations (by using either the substitution or addition-subtraction method), the new SAT includes questions requiring you to recognize any of the following: • A linear func...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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