Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution between 0 and 4. Let f(æ) = x² – V4z. In order for the Intermediate Value Theorem to apply we must first check that f is Select an answer v on the interval [0,4]. You should verify this and be able to explain why it is the case. We check the value of f at the left endpoint of the interval [0,4]: And we check the value of f at the right endpoint of the interval (0,4]: f The Intermediate Value Theorem guarantees a solution to f(x) = 7 in the interval (0,4) because 2. 2.

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
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Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution
between 0 and 4.
Let f(æ) = x² – V4z. In order for the Intermediate Value Theorem to apply we must first check that f is
Select an answer v on the interval [0,4]. You should verlfy this and be able to explain why it is the case.
We check the value of f at the left endpoint of the interval [0,4]:
And we check the value of f at the right endpoint of the interval (0,4]:
f
The Intermediate Value Theorem guarantees a solution to f(x) = 7 in the interval (0,4) because
2.
2.
VI
Transcribed Image Text:Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution between 0 and 4. Let f(æ) = x² – V4z. In order for the Intermediate Value Theorem to apply we must first check that f is Select an answer v on the interval [0,4]. You should verlfy this and be able to explain why it is the case. We check the value of f at the left endpoint of the interval [0,4]: And we check the value of f at the right endpoint of the interval (0,4]: f The Intermediate Value Theorem guarantees a solution to f(x) = 7 in the interval (0,4) because 2. 2. VI
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