Explanation Given information : g ( x ) = { x 2 − 2 i f x > 1 2 x − 3 i f x ≤ 1 Concept Involved: Domain of a function means the values of the input that gives a defined output to the function. Whenever we are finding the domain, we need to look out for two mail restrictions: Negative inside an even square root if we have a radical function Zero in the denominator if we have a rational function If we are dealing with piecewise function , we need to check at the end points of intervals to check whether we have any jump discontinuity. Calculation: Piecewise function is a function that behave differently in different inputs. We can create table of values to behavior of the function at different input values

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 16PS

To determine

Toidentify:all suspicious points and points of discontinuity.

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Chapter 2.3, Problem 15PS

Chapter 2.3, Problem 17PS

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Chapter 2 Solutions

Calculus

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Toidentify :all suspicious points and points of discontinuity.

Solution Summary: The author explains that a piecewise function behaves differently in different inputs. The graph of the function helps visualize the input values.

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Toidentify:all suspicious points and points of discontinuity.

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Chapter 2 Solutions