QuestionIf $(3,-18)$ is on an even function's graph, what other point must also be on it?

Studdy Solution

STEP 1

Assumptions1. The point $(3,-18)$ is on the graph of an even function. . An even function is a function that satisfies the property $f(x) = f(-x)$ for all $x$ in the domain of $f$ .

STEP 2

To find another point that is guaranteed to be on the graph of an even function, we can use the property of even functions mentioned above. If $(,-18)$ is on the graph, then $(-,-18)$ must also be on the graph.
$f() = f(-)$

STEP 3

Since $f(3) = -18$ , we can say that $f(-3) = -18$ .

STEP 4

Therefore, the point $(-3,-18)$ is guaranteed to be on the graph of the even function.
The other point that is guaranteed to be on the graph of the even function is $(-3,-18)$ .

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