QuestionIf $f(-4)=8$ , what point $(x, y)$ is on the graph of $y=f(x)$ ? Explain your reasoning.

Studdy Solution

STEP 1

Assumptions1. The function $f(x)$ is defined for $x = -4$ . The value of the function $f(-4)$ is given as8

STEP 2

The question asks for the $(x, y)$ coordinate point that must lie on the graph of $y=f(x)$ .The general form of a coordinate point on the graph of a function $y=f(x)$ is $(x, f(x))$ .

STEP 3

Substitute the given values of $x$ and $f(x)$ into the general form of a coordinate point.
The coordinate point is $(-, f(-))$ .

STEP 4

We know that $f(-4) =8$ . Substitute this value into the coordinate point.
The coordinate point is $(-4,8)$ .
So, the point $(-4,8)$ must lie on the graph of $y=f(x)$ .

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