# Is #f(x)=(x-3)(x-2)-x^2+x^3# concave or convex at #x=-1#?

##### 1 Answer

Oct 1, 2017

Concave down

#### Explanation:

To determine if a function is concave up or down at a point, you need to examine the sign of the second derivative

First, multiply out and simplify

Find

At

graph{(x-3)(x-2)-x^2+x^3 [-14.32, 14.15, -3.2, 11.04]}