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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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The function f has a domain of [0, 4] and a range of [0, 2]. Start by sketching a potential graph of f.
f(x) + 5. Determine the domain and range of
a. Suppose the function g is defined as g(x)
i. Domain:
ii. Range:
=
i. Domain:
ii. Range:
Preview
b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.
i. Domain:
ii. Range:
Preview
i. Domain:
ii. Range:
c. Suppose the function j is defined as j(x) = -f(x). Determine the domain and range of j.
Preview
Preview
d. Suppose the function k is defined as k(x)
Preview
Preview
=
f(x - 2). Determine the domain and range of k.
Preview
Preview
Transcribed Image Text:The function f has a domain of [0, 4] and a range of [0, 2]. Start by sketching a potential graph of f. f(x) + 5. Determine the domain and range of a. Suppose the function g is defined as g(x) i. Domain: ii. Range: = i. Domain: ii. Range: Preview b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h. i. Domain: ii. Range: Preview i. Domain: ii. Range: c. Suppose the function j is defined as j(x) = -f(x). Determine the domain and range of j. Preview Preview d. Suppose the function k is defined as k(x) Preview Preview = f(x - 2). Determine the domain and range of k. Preview Preview
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