Explanation Calculation: A function that is comprised of an algebraic expression within the absolute sign is known as absolute value function. The value of an algebraic expression in the absolute symbol is always positive. To solve an absolute value function, first isolate the function and then equate it to the other side with positive and negative sign which would provide two equations and could be solved separately for values of the defined variable. Consider the absolute function, | x − 2 | = 5 The absolute sign provides two equations as given below, ( x − 2 ) = 5 and ( x − 2 ) = − 5 The first

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Chapter 1.2, Problem 42PS

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To describe: The process to solve absolute value function.

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Chapter 1.2, Problem 41PS

Chapter 1.2, Problem 43PS

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Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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The process to solve absolute value function.

Solution Summary: The author explains the process of solving an absolute value function. The value of an algebraic expression in the absolute symbol is always positive.

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Chapter 1 Solutions