The function f has a domain of (0, 5] and a range of [0, 2]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(x) = f(x) + 4. Determine the domain and range of g. i. Domain: Preview ii. Range: Preview b. Suppose the function h is defined as h(x) = 2f(x). Determine the domain and range of h. i. Domain: Preview i1. Range: Preview c. Suppose the function j is defined as j(x) = - f(r). Determine the domain and range of j. i. Domain: Preview ii. Range: Preview d. Suppose the function k is defined as k(x) = f(x – 3). Determine the domain and range of k. i. Domain: Preview ii. Range: Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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The function f has a domain of (0, 5] and a range of [0, 2]. Start by sketching a potential graph of f.
a. Suppose the function g is defined as g(x) = f(x) + 4. Determine the domain and range of g.
i. Domain:
Preview
ii. Range:
Preview
b. Suppose the function h is defined as h(x) = 2f(x). Determine the domain and range of h.
i. Domain:
Preview
i1. Range:
Preview
c. Suppose the function j is defined as j(x) = - f(r). Determine the domain and range of j.
i. Domain:
Preview
ii. Range:
Preview
d. Suppose the function k is defined as k(x) = f(x – 3). Determine the domain and range of k.
i. Domain:
Preview
ii. Range:
Preview
Transcribed Image Text:The function f has a domain of (0, 5] and a range of [0, 2]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(x) = f(x) + 4. Determine the domain and range of g. i. Domain: Preview ii. Range: Preview b. Suppose the function h is defined as h(x) = 2f(x). Determine the domain and range of h. i. Domain: Preview i1. Range: Preview c. Suppose the function j is defined as j(x) = - f(r). Determine the domain and range of j. i. Domain: Preview ii. Range: Preview d. Suppose the function k is defined as k(x) = f(x – 3). Determine the domain and range of k. i. Domain: Preview ii. Range: Preview
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