Explore BrainMass

Sets : Intermediate Value Theorem

Prove that the interval (0,2)~R.
Use the Intermediate Value Theorem.

Solution Preview

To solve this, we consdier the function:
where r is a positive real number (i.e. r is in R)

When x=0, we have f(0)=-r
When x=2, we have ...

Solution Summary

The Intermediate Value Theorem is used to prove that the interval (0,2)~R.