# How do we use Rolle's Theorem to find whether function #f(x)=4x^2-8x+7# has a point where #f'(x)=0# in the interval #[-1,3]#?

##### 1 Answer

Mar 31, 2017

#### Explanation:

Rolle's Theorem when applied the function

Here we have

Now according to Rolle's Theorem, if in such a function

As

and our

graph{(y-4x^2+8x-7)((x+1)^2+(y-19)^2-0.01)((x-3)^2+(y-19)^2-0.01)((x-1)^2+(y-3)^2-0.015)=0 [-4, 4, -5, 23]}