# Intermediate value theorem

Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.

f(x)=10/((x^2)+1) [0,1] k=8

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#### Solution Preview

First, f(x) is continuous on [0,1] and we can use the intermediate value theorem.

f(0)=10/(0+1)=10>k=8

f(1)=10/(1+1)=5<k=8

So we can ...

#### Solution Summary

This shows how to determine if a function follows the intermediate value theorem.

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