Consider the following. (x) - (6 - x)2 (a) Sketch a graph of the function f. 12 12 10 10 -10 -8 -6 -4 -2 6 10 -10 -8 -4 -2 -8 -10- -12 (b) Determine intervals on which f is one-to-one. O (-, 0) and [0, ) O (-, 6) and (6, ) O (-, -6) and [-6, ) O (-6, 0] O (-, ) (c) Find the inverse function of f on the interval found in part (b). f(x) = (d) Give the domain of the inverse function. O (-6, 0] O (-, 0) u (0, ») O (0, ) O (-s, ») O (-s, -6] u [6, »)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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Consider the following.
(x) - (6 - x)2
(a) Sketch a graph of the function f.
12
12
10
10
-10
-8
-6
-4
-2
6
10
-10
-8
-4
-2
-8
-10-
-12
(b) Determine intervals on which f is one-to-one.
O (-, 0) and [0, )
O (-, 6) and (6, )
O (-, -6) and [-6, )
O (-6, 0]
O (-, )
(c) Find the inverse function of f on the interval found in part (b).
f(x) =
(d) Give the domain of the inverse function.
O (-6, 0]
O (-, 0) u (0, »)
O (0, )
O (-s, »)
O (-s, -6] u [6, »)
Transcribed Image Text:Consider the following. (x) - (6 - x)2 (a) Sketch a graph of the function f. 12 12 10 10 -10 -8 -6 -4 -2 6 10 -10 -8 -4 -2 -8 -10- -12 (b) Determine intervals on which f is one-to-one. O (-, 0) and [0, ) O (-, 6) and (6, ) O (-, -6) and [-6, ) O (-6, 0] O (-, ) (c) Find the inverse function of f on the interval found in part (b). f(x) = (d) Give the domain of the inverse function. O (-6, 0] O (-, 0) u (0, ») O (0, ) O (-s, ») O (-s, -6] u [6, »)
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