College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 8CC: What does it mean to say that f(4) is a local maximum valueof f ?
Related questions
Question
Answer the even number questions only 24-38 and show your work.
Transcribed Image Text:In Exercises 23-26, create a table that represents the
transformation of f/given by g.
23. g(x)=f(x-4)
-1
f(x) -4
24. g(x)=f(x) +5
x
X
f(x)
25. g(x)=3f(x)
X
-3
f(x) -5
18
26. g(t)-f(x)
-7
3
X
f(x)
0
2
-3 -2 -1
64
INI
-5 -3 -1
I
1 3
-1 1
In Exercises 27-30, graph g.
27. g(x)=f(x + 1)
Ly
-2 0 2 4
10 2 6
14
29. g(x)=0.5/(x)
3
3 7
12
Chapter 1
28. g(x)=f(t) - 6
K
54
10
30. g(x)/(4x)
4 x
In Exercises 31-38, describe the transformations from
the graph off to the graph of g. (See Example 4.)
▶31.
首
Functions and Transformations
32.
33.
35.
36.
37.
x
f(x)
2
g(x)=f(x)-k
X
-2
f(x)
1
g(x) = -f(x) -1
X
Y
f(x)
g(x)
X
f(x)
g(x)
91
g(x)=f(x)
-4
4
8
4 2 V
2
1
-3
4 6x
5
10
3 4
0 =1
2
4
S
-2 0
6
12
M
5
0
2
-1
4
-4
34.
38.
5
6
0
I
-4 -3
2
7
14
6
1
3
0 I
7
10
-7 -10
g(x)=f(x+ k)
7
2
-2
Y
40. f(x)=x-4; g(x)=f(x-2) +7
41. f(x) = 3x + 11; g(x) = −/(x)
42. f(x)=x+21-5; g(x)=3/(x)-4
g
f
4
2
In Exercises 39-42, describe the transformation of f
represented by g. Then graph each function.
(See Example 5.)
39. f(x)=x-91: g(x) = f(x+5)-1
AY
GO DIGITAL
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