Where does g concave up?

Shown is the graph of g", the second derivative of function g. Where is function g concave up?
A) x<5
B) x>5
C) x<4
D) 2<x<5
E) x<2 and 2<x<5
enter image source here

1 Answer
Feb 4, 2018

E

Explanation:

Whenever the second derivative is greater than #0#, the function will be concave up, therefore option E is correct.

Note that option A is incorrect because at #x = 2# the graph hits zero and therefore is no longer concave up.

Hopefully this helps!