# How do we use intermediate value theorem to identify zeros of a function?

##### 1 Answer

Feb 24, 2017

Please see below.

#### Explanation:

The intermediate value theorem states that if

a continuous function

within an interval

then it also takes any value between

**at some point within the interval**.

As such, if in case of a continuous function within a domain

**if we identify two values in domain #[x_1,x_2]#, say #a# and #b#, at which #f(x)# takes opposite signs**

**then #f(x)# must have a value #0# i.e. a root, between #a# and #b#** .