Explanation Given information : f ( x ) = { a x + b i f x > 1 3 i f x = 1 x 2 − 4 x + b + 3 i f x ≤ 1 Concept Involved: For a piecewise function to be continuous for all x values given, the end points of the interval need to have same height. The height of the left side function should be equal to the height of right side function at boundary point. Here in this problem for the function to be continuous at x = 1 both of the below equations should be equal. a x + b = 3 → 1 s t e q u a t i o n x 2 − 4 x + b + 3 = 3 → 2 n d e q u a t i o n Calculation: Description Steps Substituting x = 1 in first equation a + b = 3

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2.3, Problem 45PS

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Tofind:the value of constants a and b .

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Chapter 2.3, Problem 44PS

Chapter 2.3, Problem 46PS

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Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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Tofind : the value of constants a and b .

Solution Summary: The author explains how to find the value of constants a and b. The graph of the function helps visualize the input values.

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Tofind:the value of constants a and b .

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Chapter 2 Solutions