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Numerade Educator

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Problem 69 Medium Difficulty

Graphs of $ f $ and $ t $ are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.

Answer

$f$ is odd, $g$ is even

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Video Transcript

Let's take a look at the graph of F notice that it has symmetry about the origin. We call that origin symmetry. So that means that opposite X values have opposite. Why values? So that means it's an odd function. And let's take a look at the graph of G notice that it has symmetry about the Y axis, and that means that opposite X values have the same Y value, and that makes it even.