1. ## graphs about a function

Let g(x) be a function where g(0)=0, g(2)=0 and g'(4)=0. Which of the following is a possible graph of g(x)?

3. ## Re: graphs about a function

Well, right away I eliminated choice C) because it doesn't satisfy g(0)=0. And, from here Im not sure what to do. I dont really understand what g '(4)=0 exactly means. Any feedback would be helpful

4. ## Re: graphs about a function

$g'(x)$ is the slope (or gradient) of $g(x).$

$g'(4)=0$ tells you that the gradient is zero when $x=4.$

5. ## Re: graphs about a function

ahh..so that would be represented by D right?

Correct.

thank you