# How do you verify the intermediate value theorem over the interval [0,3], and find the c that is guaranteed by the theorem such that f(c)=4 where #f(x)=x^3-x^2+x-2#?

##### 2 Answers

Finding the

Possible rational zeros are

Testing shows that

So

The value of

#### Explanation:

The intermediate value theorem states that if

Here,

Therefore,