Graph f(x) = 3 - |2x - 5| and find what values of x give f(x) = 0.

Question:

Graph {eq}f( x ) = 3 - |2x - 5| {/eq} and find what values of {eq}x {/eq} give {eq}f(x) = 0. {/eq}

Solving Equations with Absolute Value Signs:

When solving an equation involving absolute value signs, one must remember the following useful formula:

{eq}|f(x)| = y \Leftrightarrow f(x) = \pm y {/eq}

This formula helps us get rid of the absolute value signs.

Answer and Explanation:

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How to Solve an Absolute Value Equation

from Math 101: College Algebra

Chapter 2 / Lesson 5
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