Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x*+x - 8 = 0, (1, 2) f(x) = x +x- 8 is -Select-v on the closed interval [1, 2], f(1) = , and f(2) = |. Since -6 < ? < 10, there is a number c in (1, 2) such that f(c) = ? by the Intermediate Value Theorem. Thus, there is a-Select- v iof the equation x + x - 8 = 0 in the interval (1, 2). Need H root limit Watch discontinuity Submit Answer

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
x*+x - 8 = 0, (1, 2)
1, and f(2) -
. Since -6 < ? < 10, there is a number c in (1, 2) such that (c) = ? v by the Intermediate Value Theorem. Thus,
f(x) = x* +x - 8 is Select v on the closed interval [1, 2], f(1) =|
v iof the equation x+ x - 8 = 0 in the interval (1, 2).
there is a-Select-
Select-
Need H root
Watch It
limit
discontinuity
Submit Answer
Transcribed Image Text:Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x*+x - 8 = 0, (1, 2) 1, and f(2) - . Since -6 < ? < 10, there is a number c in (1, 2) such that (c) = ? v by the Intermediate Value Theorem. Thus, f(x) = x* +x - 8 is Select v on the closed interval [1, 2], f(1) =| v iof the equation x+ x - 8 = 0 in the interval (1, 2). there is a-Select- Select- Need H root Watch It limit discontinuity Submit Answer
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