(-inf,-4) -7 -6 -5 -4 -3 (-4,1) Test each interval -2 -1 8 Because our function must be either positive or negative for each separate interval, we only need to "test" our function for one value in each separate interval. a. Select an x-value in the first interval, (-∞, -4): Evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the first interval? Positive 1 b. Select an x-value in the second interval, (-4,1): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the second interval? Negative c. Select an x-value in the third interval, (1 m): 2 3 (1, inf) 4 5 6 7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
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Question
(-inf,-4)
-7 -6 -5 -4 -3
(-4,1)
Test each interval
-2
-1
8 1
Because our function must be either positive or
negative for each separate interval, we only need to
"test" our function for one value in each separate
interval.
a. Select an x-value in the first interval,
(-∞, -4):
Evaluate the function f(x) at your selected
x-value:
Will f(x) be positive or negative on the
first interval? Positive
b. Select an x-value in the second interval,
(-4,1):
And evaluate the function f(x) at your
selected x-value:
Will f(x) be positive or negative on the
second interval? Negative
c. Select an x-value in the third interval,
(1,00):
And evaluate the function f(x) at your
selected x-value:
Will f(x) be positive or negative on the
third interval? Positive
2
3
(1, inf)
4
5
6
7
Transcribed Image Text:(-inf,-4) -7 -6 -5 -4 -3 (-4,1) Test each interval -2 -1 8 1 Because our function must be either positive or negative for each separate interval, we only need to "test" our function for one value in each separate interval. a. Select an x-value in the first interval, (-∞, -4): Evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the first interval? Positive b. Select an x-value in the second interval, (-4,1): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the second interval? Negative c. Select an x-value in the third interval, (1,00): And evaluate the function f(x) at your selected x-value: Will f(x) be positive or negative on the third interval? Positive 2 3 (1, inf) 4 5 6 7
– 1
x +4
The graph of y = f(x) looks like:
f(x) =
-8
=
X -
1.
-8
Transcribed Image Text:– 1 x +4 The graph of y = f(x) looks like: f(x) = -8 = X - 1. -8
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