3. Use the following information to answer the next question. The graph of y = f(x) includes the points (2, 5), (4, 15), (7, 30). The graph of y = g(x) includes the points (2, 6), (3, 16), (4, 30). If f and g are defined for all real values of x, then which of the following points must lie on the graph of y = (f - g)(x)? A. (0, -1) B. (2, -1) C. (0, 1) D. (3, 30)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Plz solve all 3 parts 

3.
Use the following information to answer the next question.
The graph of y = f(x) includes the points (2, 5), (4, 15), (7, 30).
The graph of y = g(x) includes the points (2, 6), (3, 16), (4, 30).
If f and g are defined for all real values of x, then which of the
following points must lie on the graph of y = (f - g)(x)?
A. (0, -1)
B. (2, -1)
C. (0, 1)
D. (3, 30)
Transcribed Image Text:3. Use the following information to answer the next question. The graph of y = f(x) includes the points (2, 5), (4, 15), (7, 30). The graph of y = g(x) includes the points (2, 6), (3, 16), (4, 30). If f and g are defined for all real values of x, then which of the following points must lie on the graph of y = (f - g)(x)? A. (0, -1) B. (2, -1) C. (0, 1) D. (3, 30)
1.
2.
Use the following information to answer the next question,
The graph of y = f(x) is shown below.
8 ГУ
y = f(x)
7
6
-4
-2
C. y = f(-x)
D. y = √f(x)
5
4
3
2
1
Đ
-1
-2
-3
-4
2
f(/(x+5)) is
X
-5
The transformation that will result in the greatest number of invariant
points is:
A. y = -f(x)
B. x = f(y)
4
is the image of the graph y = f(x)
The graph of y + 2 = -3f
after several transformations. Which statement about how the graph
of y = f(x) was transformed is false?
A. The graph was reflected in the x-axis
B. The graph was translated 2 units down
C. The graph was reflected in the y-axis
D. The graph was horizontally stretched by a factor of 2
Transcribed Image Text:1. 2. Use the following information to answer the next question, The graph of y = f(x) is shown below. 8 ГУ y = f(x) 7 6 -4 -2 C. y = f(-x) D. y = √f(x) 5 4 3 2 1 Đ -1 -2 -3 -4 2 f(/(x+5)) is X -5 The transformation that will result in the greatest number of invariant points is: A. y = -f(x) B. x = f(y) 4 is the image of the graph y = f(x) The graph of y + 2 = -3f after several transformations. Which statement about how the graph of y = f(x) was transformed is false? A. The graph was reflected in the x-axis B. The graph was translated 2 units down C. The graph was reflected in the y-axis D. The graph was horizontally stretched by a factor of 2
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