The accompanying figure shows the graph of a function g(t) with domain [-4, 0] and range [-3, 0]. Find the domains and ranges of the following functions, and sketch their graphs. y = g(t) b. -g(1) a. g(-1) d. 1 – g(t) c. g(t) + 3 f. g(t – 2) e. g(-t + 2) h. -g(t – 4) g. g(1 – t) 3.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 5SC
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The accompanying figure shows the graph of a function g(t) with
domain [-4, 0] and range [-3, 0]. Find the domains and
ranges of the following functions, and sketch their graphs.
y = g(t)
b. -g(1)
a. g(-1)
d. 1 – g(t)
c. g(t) + 3
f. g(t – 2)
e. g(-t + 2)
h. -g(t – 4)
g. g(1 – t)
3.
Transcribed Image Text:The accompanying figure shows the graph of a function g(t) with domain [-4, 0] and range [-3, 0]. Find the domains and ranges of the following functions, and sketch their graphs. y = g(t) b. -g(1) a. g(-1) d. 1 – g(t) c. g(t) + 3 f. g(t – 2) e. g(-t + 2) h. -g(t – 4) g. g(1 – t) 3.
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