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Analyzing Graphs of Absolute Value Functions

Analyzing Graphs of Absolute Value Functions 1.8 - 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. Recall that an absolute value expression cannot be negative. Therefore, the given function has no solutions. Let's also verify our conclusion by graphing. The left-hand side of the equation can be expressed as the absolute value function We'll draw its graph.

The solutions to the equation would be the coordinates of the points on the graph that whose coordinate is

As we can see above, there is no point on the graph whose coordinate is Therefore, the equation has no solutions.