7. If the graph of a function is symmetric about the origin, which of the following must be true? A. f(x) = f(-x) B. f(-x) = -f(x) C. f(x) = f(x) D. f(x) = f(x) PAL 2.
7. If the graph of a function is symmetric about the origin, which of the following must be true? A. f(x) = f(-x) B. f(-x) = -f(x) C. f(x) = f(x) D. f(x) = f(x) PAL 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please help with 37 and explain why
Transcribed Image Text:Chapter 3
which of the following?
36. The graph of the equation y=-x.is symmetric with respect to
A. the x-axis
B. the y-axis
C. the origin
D. none of these
37. If the graph of a function is symmetric about the origin, which of the
following must be true?
A. f(x) = f(-x) B. f(-x) = -f(x) C. f(x) = \f(x)\. D. f(x) = f(x)
38. The graph of an odd function is symmetric with respect to which
of the following?
A. the x-axis B. the y-axis
39. Which of the following represents the graph of f(x)=x²-1?
A. Mi
C.
M
D.
B. MEN
40 Solve (2x-5 ≥ 7.
A. xs-1 arx≥6
C. x≤6
#F.
M
C. the line y=x D. none of these
41. Choose the inequality shown by the graph.
A. y ≤ 2x + 1
B. y ≤-2x + 1
C. y ≤2-1
D. y ≤-2xl-1
42. Find the inverse of f(x) = 2√x + 3.
A. f-¹(x) = (²2³²
x-32
B. -1≤x≤6
D. x≥-1
y
A. y=x-4 B. y = x+1
B. f-¹(x) = (x + 2)²
2
C. f(x)=√x - 3
D. f-¹(x)=√x +3
2
Which graph represents a function whose inverse is also a function?
D.
43, Axe B² =
+
C.
. Which is true for the graph of y
A. vertical asymptotes at x = ±8 B. horizontal asymptotes at y = ±2
C. vertical asymptotes at x = ±2 D. horizontal asymptote at y = 1
45. Find the equation of the slant asymptote for the graph of
28-4x²+2x-5
²+2
4?
#
+9
C. y = x
46. Which of the following could be the function
represented by the graph at the right?
1Xx-3)
6.
D. y = 1
LALTOON
8.-
9.
10..
16.-
17.-
18.-
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