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Given that the domain of the function f is [-4,4] and the range of ff is [-2,5]. A graph of the function f is shown below.

Given that the domain of the function f is [-4,4] and the range of ff is [-2,5]. A graph of the function f is shown below.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 63E
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4. Given that the domain of the function fis [-4,4] and the range of ff is [-2,5]. A graph of the function f is shown below. 4 2 -4 -2 -1 4 -2 If we now form the function h(x) = f (x + 3), which one of the following choices correctly describes the domain and the range of the new function h. a. Domain of h: [-7,1]; Range of h: [-2,5] b. Domain of h: [-1,7]; Range of h: [-2,5] c. Domain of h: [-4,4]; Range of h: [1,8] d. Domain of h: [-7,1]; Range of h: [-5,2] e. Domain of h: [-1,7]; Range of h: [1,8] 5. Given that f(x) = 6x3 – 15x^2 – 21x + 1. Which of the following is not true? a. The vertical intercept for f is y = 1. b. The value of f (x) → o as x → o c. The degree of fis 6. d. The value of f(x) → - e. The leading term of f is 6. -co as x → -0 2.
Transcribed Image Text:4. Given that the domain of the function fis [-4,4] and the range of ff is [-2,5]. A graph of the function f is shown below. 4 2 -4 -2 -1 4 -2 If we now form the function h(x) = f (x + 3), which one of the following choices correctly describes the domain and the range of the new function h. a. Domain of h: [-7,1]; Range of h: [-2,5] b. Domain of h: [-1,7]; Range of h: [-2,5] c. Domain of h: [-4,4]; Range of h: [1,8] d. Domain of h: [-7,1]; Range of h: [-5,2] e. Domain of h: [-1,7]; Range of h: [1,8] 5. Given that f(x) = 6x3 – 15x^2 – 21x + 1. Which of the following is not true? a. The vertical intercept for f is y = 1. b. The value of f (x) → o as x → o c. The degree of fis 6. d. The value of f(x) → - e. The leading term of f is 6. -co as x → -0 2.
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