Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15RE
Related questions
Question
q1.5
Transcribed Image Text:75
50
25
-3
-2
-1
1
to
3
6 7
8.
-25
-50
-75
Figure 1: Sketch of the graph of y = f(x)
%3D
![Of has a jump discontinuity at x = 4.
Of'(x) <0 at x = 6.
Olim,4 f(x) exists.
Of has a removable discontinuity at a = 4.
f. What is the largest value of b such that f'(x) < o for all x E [6, 6)?
g. Consider the function h(x) defined on [2, 6] by h(x) = 1+ 2f(x + 2). What is the maximum value of h(x) for æ e [2, 6]?
h. Let g(x) = 5 +
Tick all of the following statements that are true. Marks will be removed for incorrect choices.
1+22
Og(f(x)) is increasing at x = 6.
O20 is contained in the range of g(f(x)).
Of(g(x)) is increasing at x = 2.
OThe domain of f(g(x)) is R.
Olim, 1 f(g(x)) = -0o.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0308209d-728f-4f99-815d-9cb6498cc631%2Fdbfe9909-ceee-4a42-a3d0-6387a30795e5%2Fnxdiozv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Of has a jump discontinuity at x = 4.
Of'(x) <0 at x = 6.
Olim,4 f(x) exists.
Of has a removable discontinuity at a = 4.
f. What is the largest value of b such that f'(x) < o for all x E [6, 6)?
g. Consider the function h(x) defined on [2, 6] by h(x) = 1+ 2f(x + 2). What is the maximum value of h(x) for æ e [2, 6]?
h. Let g(x) = 5 +
Tick all of the following statements that are true. Marks will be removed for incorrect choices.
1+22
Og(f(x)) is increasing at x = 6.
O20 is contained in the range of g(f(x)).
Of(g(x)) is increasing at x = 2.
OThe domain of f(g(x)) is R.
Olim, 1 f(g(x)) = -0o.
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