## absolute value function notes

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. Q&A If we couldn’t observe the stretch of the function from the graphs, could we algebraically determine it? This is a double-sided page over the Absolute Value Function with notes and examples on one side and practice on the other.. An absolute value function is a function that involves the absolute value of a variable. Every absolute value inequality is a compound inequality. 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. The concept of absolute value has many applications in the study of calculus. The line that divides the graph of an absolute value function into two sections that are reflections of each other is the _____. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated. Note that 7x – 3 must be nonnegative. Recall that the absolute value of a number is its distance from 0 on the number line. Note that these equations are algebraically equivalent—the stretch for an absolute value function can be written interchangeably as a vertical or horizontal stretch or compression. Practice!! The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction. Title: Piecewise, Absolute Value, and Step Functions The absolute value parent function, written as f (x) = | x |, is defined as . Then graph and find the values asked. View Absolute Value & Function Notes 1.1 1.2 FILLED IN.pdf from MATH 14-24 at Archbishop O'Leary. 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). The absolute value function is commonly used to measure distances between points. Absolute Value Symbol. 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 notes begin by defining the absolute value notation and working a few examples as a reminder. 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. The lowest or highest point on the graph of an absolute value function is the _____. Please begin working on your practice: for each label whether it is a piecewise, absolute value, or step 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. An absolute value function is a function that contains an algebraic expression within absolute value symbols. 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! Next, a table of values is made and the absolute value function is graphed. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. guided notes. f (x) = {x if x > 0 0 if x = 0 − x if x < 0. By defining the absolute value, or step function changes direction 2 separate inequalities come from when split! Notes begin by defining the absolute value function into two sections that are reflections each... Whether it is a piecewise, absolute value, and step Functions the concept absolute. 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