The table below gives for the value of continuous function f at each a-value. Using the Intermediate Value Theorem and the information in the table, determine the smallest interval in which the function must have a root. a f(x) -5 9.25 -4 8.03 -3 7.05 -2 7.01 -1 1.02 0 0.69 1 2.43 25.45 3 -0.76 4 -4.93 5 -2.93 Answer (in interval notation):

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 83E
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The table below gives for the value of continuous function f at each x-value. Using the Intermediate Value
Theorem and the information in the table, determine the smallest interval in which the function must have a root.
a f(x)
-5 9.25
-4 8.03
-3 7.05
-2 7.01
–1 1.02
0 0.69
1
2.43
2 5.45
3 -0.76
-4.93
-2.93
Answer (in interval notation):
Transcribed Image Text:The table below gives for the value of continuous function f at each x-value. Using the Intermediate Value Theorem and the information in the table, determine the smallest interval in which the function must have a root. a f(x) -5 9.25 -4 8.03 -3 7.05 -2 7.01 –1 1.02 0 0.69 1 2.43 2 5.45 3 -0.76 -4.93 -2.93 Answer (in interval notation):
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