Thread: 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)?

Tell us what you think the answer is, then someone will either confirm your answer or help you correct it.

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

is the slope (or gradient) of

tells you that the gradient is zero when

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

Correct.

thank you