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Math Calculus Volume 1

In the following exercises, use the Intermediate Value Theorem (IVT). 150. Let h ( x ) = { 3 x 2 − 4 , x ≤ 2 5 + 4 x , x > 2 over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.

In the following exercises, use the Intermediate Value Theorem (IVT). 150. Let h ( x ) = { 3 x 2 − 4 , x ≤ 2 5 + 4 x , x > 2 over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.

Calculus Volume 1

Calculus Volume 1

17th Edition

ISBN: 9781938168024

Author: Strang, Gilbert

Publisher: OpenStax College

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Textbook Question

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Chapter 2.4, Problem 150E

In the following exercises, use the Intermediate Value Theorem (IVT).

150. Let h ( x ) = { 3 x 2 − 4 , x ≤ 2 5 + 4 x , x > 2 over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.

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Chapter 2.4, Problem 149E

Chapter 2.4, Problem 151E

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Sketch the graph of f. Is...Ch. 2.4 - Let f(x)=x41x21forx1,1 . a. Sketch the graph of f....Ch. 2.4 - Sketch the graph of the function y=f(x) with...Ch. 2.4 - Sketch the graph of the function y=f(x) with...Ch. 2.4 - In the following exercises, suppose y=f(x) is...Ch. 2.4 - In the following exercises, suppose y=f(x) is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - Determine whether each of the given statements is...Ch. 2.4 - [T] The following problems consider the scalar...Ch. 2.4 - [T] The following problems consider the scalar...Ch. 2.4 - [T] The following problems consider the scalar...Ch. 2.4 - [T] After a certain distance D has passed, the...Ch. 2.4 - As the rocket travels away from Earth’s surface,...Ch. 2.4 - wqProve the following functions are continuous...Ch. 2.4 - Prove the following functions are continuous...Ch. 2.4 - Prove the following functions are continuous...Ch. 2.5 - In the following exercises, write the appropriate ...Ch. 2.5 - In the following exercises, write the appropriate ...Ch. 2.5 - In the following exercises, write the appropriate ...Ch. 2.5 - In the following exercises, write the appropriate ...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - The following graph of the function f satisfies...Ch. 2.5 - [T] In the following exercises, use a graphing...Ch. 2.5 - [T] In the following exercises, use a graphing...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - In the following exercises, use the precise...Ch. 2.5 - An engineer is using a machine to cut a flat...Ch. 2.5 - Use the precise definition of limit to prove that...Ch. 2.5 - Using precise definitions of limits, prove that...Ch. 2.5 - Using precise definitions of limits, prove that...Ch. 2.5 - Using precise definitions of limits, prove that...Ch. 2.5 - Using the function from the previous exercise, use...Ch. 2.5 - limxa(f(x)g(x))=LM Ch. 2.5 - limxa[cf(x)]=cL for any real constant c (Hint....Ch. 2.5 - ...Ch. 2 - wTrue or False. In the following exercises,...Ch. 2 - True or False. In the following exercises, justify...Ch. 2 - True or False. In the following exercises, justify...Ch. 2 - True or False. 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