Chapter 6, Section 6.2, Question 037 The table below contains values of f(x) 0 -6 -2 2 4 -4 f(x) -8 12 4 14 -2 10 Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula for each of these functions in terms of f For example, given the data in the table below, we would say that g(x) = 3f(x). 0 -6 -4 -2 2 4 g(x) 36 12 -24 -42 -6 30 (a) 0 -6 -4 -2 2 4 -1.6-2.8-0.4 h(x) 0.8 2 2.4 h(x) (b) -4 -2 -2 0 -6 4 6 Χ k(x) Ο 10 14 -8 4 12 Ο k(x)-F (1-3) Ο k() f(s) Ο k(x)-f(-x) Ο k(1)-1-f ) Ο k(x) -f(-x) LINK T ΤΕXT

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Chapter 6, Section 6.2, Question 037
The table below contains values of f(x)
0
-6
-2
2
4
-4
f(x)
-8
12
4
14
-2
10
Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula
for each of these functions in terms of f
For example, given the data in the table below, we would say that g(x) = 3f(x).
0
-6
-4
-2
2
4
g(x)
36
12
-24
-42
-6
30
(a)
0
-6
-4
-2
2
4
-1.6-2.8-0.4
h(x)
0.8
2
2.4
h(x)
Transcribed Image Text:Chapter 6, Section 6.2, Question 037 The table below contains values of f(x) 0 -6 -2 2 4 -4 f(x) -8 12 4 14 -2 10 Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula for each of these functions in terms of f For example, given the data in the table below, we would say that g(x) = 3f(x). 0 -6 -4 -2 2 4 g(x) 36 12 -24 -42 -6 30 (a) 0 -6 -4 -2 2 4 -1.6-2.8-0.4 h(x) 0.8 2 2.4 h(x)
(b)
-4
-2
-2
0
-6
4
6
Χ
k(x)
Ο
10
14
-8
4
12
Ο k(x)-F (1-3)
Ο k() f(s)
Ο k(x)-f(-x)
Ο k(1)-1-f )
Ο k(x) -f(-x)
LINK T ΤΕXT
Transcribed Image Text:(b) -4 -2 -2 0 -6 4 6 Χ k(x) Ο 10 14 -8 4 12 Ο k(x)-F (1-3) Ο k() f(s) Ο k(x)-f(-x) Ο k(1)-1-f ) Ο k(x) -f(-x) LINK T ΤΕXT
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