(-∞, -4): -4 Evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the first interval? Negative b. Select an x-value in the second interval, (-4,4): 0 And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the second interval? Positive C c. Select an x-value in the third interval, (4,00): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the third interval? Negative

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The graph of y = 16 - x² looks like:
-10
10
140
-10
16
Transcribed Image Text:The graph of y = 16 - x² looks like: -10 10 140 -10 16
-9
(-inf,(-4))
-8
-7
-6 -5 -4 -3
a. Select an x-value in the first interval,
(-∞, -4): -4
-2
Evaluate the function f(x) at your selected
x-value:
Will f(x) be positive or negative on the
first interval? Negative
b. Select an x-value in the second interval,
(-4,4): 0
And evaluate the function f(x) at your
selected x-value:
Will f(x) be positive or negative on the
second interval? Positive
c. Select an x-value in the third interval,
(4,00):
And evaluate the function f(x) at your
selected x-value:
Will f(x) be positive or negative on the
third interval? Negative
((-4),4)
-1
8
1
2
3
4
5
6
(4,inf)
7
8
9
Transcribed Image Text:-9 (-inf,(-4)) -8 -7 -6 -5 -4 -3 a. Select an x-value in the first interval, (-∞, -4): -4 -2 Evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the first interval? Negative b. Select an x-value in the second interval, (-4,4): 0 And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the second interval? Positive c. Select an x-value in the third interval, (4,00): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the third interval? Negative ((-4),4) -1 8 1 2 3 4 5 6 (4,inf) 7 8 9
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