# For what values of x is #f(x)=(x-1)(x-7)(x-1)# concave or convex?

##### 1 Answer

Sep 17, 2017

Convex if x is greater than 1.5, concave if less than 1.5

#### Explanation:

A function is convex (aka concave up) when

Now we differentiate using the power rule...

And once more...

We then find when this is greater than 0...

This, the function is convex for x greater than 1.5, concave for x less than 1.5