Rewriting absolute value piecewise functions

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Rewriting absolute value piecewise functions

Obtaining Equations from Piecewise Function Graphs You may be asked to write a piecewise function, given a graph. To review how to obtain equations from linear graphs, see Obtaining the Equations of a Line, and from quadratics, see Finding a Quadratic Equation from Points or a Graph.

Here are the graphs, with explanations on how to derive their piecewise equations: You might want to review Solving Absolute Value Equations and Inequalities before continuing on to this topic.

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This means we can write this absolute value function as a piecewise function. Here are more examples, with explanations. You might want to review Quadratic Inequalities for the second example below: Therefore, the piecewise function is: The piecewise function is: So, the piecewise function is: You may also be asked to take an absolute value graph and write it as a piecewise function: We learned how about Parent Functions and their Transformations here in the Parent Graphs and Transformations section.

Piecewise Function Word Problems Problem: We have to start at 0, since dogs have to weigh over 0 pounds: So the whole piecewise function is: Note that this piecewise equation is non-continuous. That costs more than a human haircut at least my haircuts! You plan to sell She Love Math t-shirts as a fundraiser.

Write a function that models this situation. Put in numbers and try it! Learn these rules, and practice, practice, practice! Welcome to She Loves Math! And, even better, a site that covers math topics from before kindergarten through high [email protected]: Thanks for the comment ā€” really appreciate the support!

rewriting absolute value piecewise functions

Iā€™m actually looking at ways to help tap into the community ā€” one idea is getting a little section after each post to share the analogies that worked (or questions that are still outstanding). The only places where we need to break the function into "pieces" are those points where the expression inside each absolute value becomes zero.

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Algebra 2 Test Practice. Welcome to McDougal Littell's Test Practice site. This site offers multiple interactive quizzes and tests to improve your test-taking skills. Graph functions, plot data, evaluate equations, explore transformations, and much more ā€“ for free! Free absolute value equation calculator - solve absolute value equations with all the steps.

Type in any equation to get the solution, steps and graph. The absolute value symbol is really shorthand for what we call a piecewise described function. The algebraic definition of abolute value is as follows.

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