Question

*20 POINTS*

If you knew that f(-4)=8, then what (x,y) coordinate point must lie on the graph of y=f(x)? Explain your thinking.

Answer 1

(-4, 8)

Explanation:

The reasoning behind this is that when we have a function, such as y = f(x), the notation f(-4) means "the value of the function f when x is equal to -4." So, when x is -4, the function f(x) evaluates to 8. This information gives us a specific point on the graph of the function, where x is -4, and y (or f(x)) is 8. Therefore, the coordinate point (-4, 8) is a point on the graph of the function y = f(x).

Answer 2

If
`\( f(-4) = 8 \)`, this means that when
`\( x = -4 \)`, the function
`\( f(x) \)` gives a value of
`\( 8 \)`. In terms of a coordinate point on the graph of
`\( y = f(x) \)`, this would be translated to the point
`\( (-4, 8) \)`.