Explanation Given information: Suppose that a function f is continuous on [ 0 , 1 ] except at 0.25 and that f ( 0 ) = 1 and f ( 1 ) = 3 . Let N = 2 . Calculation: The graph below is for the function below which is not continuous at x = 0.25 and does not satisfy the conclusion of the intermediate value property. f ( x ) = { 1 if 0 ≤ x ≤ 0.25 2 if 0.25 < x ≤ 1 Note that f ( 0 ) < 1.5 < f ( 1 ) but f ( x ) ≠ 1

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 2.5, Problem 38E

To determine

To sketch: two possible graphs of f , one showing that f might not satisfy the conclusion of the Intermediate Value Theorem and one showing that f might still satisfy the conclusion of the Intermediate Value Theorem.

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Chapter 2.5, Problem 37E

Chapter 2.5, Problem 39E

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Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)

I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.

need help on B

Chapter 2 Solutions

BIOCALCULUS:CALCULUS F/LIFE...-W/ACCESS

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