Please begin working on your practice: for each label whether it is a piecewise, absolute value, or step function. A piecewise function is a function composed of two or more separate functions or pieces, each with its own specific domain, that combine to define the overall function. So first, you isolate the absolute value following all the same steps as you did when isolating the absolute value when solving an absolute value equation. The absolute value parent function, written as f (x) = | x |, is defined as . 3.8 - Absolute Value Functions Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date: 11/1/2017 10:22:49 AM The absolute value function is commonly used to measure distances between points. The lowest or highest point on the graph of an absolute value function is the _____. f (x) = {x if x > 0 0 if x = 0 − x if x < 0. Next, a table of values is made and the absolute value function is graphed. An absolute value function is a function that involves the absolute value of a variable. Practice!! Applied problems, such as ranges of possible values, can also be solved using the absolute value function. This is a double-sided page over the Absolute Value Function with notes and examples on one side and practice on the other.. Q&A If we couldn’t observe the stretch of the function from the graphs, could we algebraically determine it? Solving Absolute Value Equations Johnny Wolfe www.BeaconLC.org Jay High School Santa Rosa County Florida September 22, 2001 Solving Absolute Value Equations Worksheet Key Evaluate if x = –5 1. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero). Every absolute value inequality is a compound inequality. An absolute value function is a function that contains an algebraic expression within absolute value symbols. The absolute value of a number x, written | x| may be defined in a variety of ways.On a real number line, the absolute value of a number is the distance, disregarding direction, that the number is from zero. Title: Piecewise, Absolute Value, and Step Functions The concept of absolute value has many applications in the study of calculus. Recall that the absolute value of a number is its distance from 0 on the number line. Let Ms. Rhoads know if you have any questions!! The absolute value of 3 is 3; The absolute value of 0 is 0; The absolute value of −156 is 156; No Negatives! The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction. 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