# For what values of x is #f(x)= -2x^3 + 4 x^2 + 5x -5 # concave or convex?

##### 1 Answer

Dec 10, 2017

Concave:

Convex:

#### Explanation:

A function is convex if the second derivative is positive and concave where its second derivative is negative. When the second derivative is

So:

Concave:

Convex:

Graph:

graph{y=-2x^3+4x^2+5x-5 [-4, 4, -7.12, 7.12]}