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Analyzing Graphs of Absolute Value Functions

Analyzing Graphs of Absolute Value Functions 1.15 - Solution

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When solving an equation graphically, the first step is to rearrange the equation so that the absolute value term is isolated. The left-hand side of the equation can now be expressed as the absolute value function We'll draw its graph.

The solutions to the equation are the coordinates of the points on the graph that have coordinate

The solutions of the equation are and We can verify them by substituting in the given equation. We'll start with
Simplify left-hand side
\AddTerm
Since makes a true statement, it is a solution to the equation. Next, we'll verify in the same way. Since makes a true statement, it is also a solution. Therefore, both and are solutions to the given equation.