# 1.7 | Introduction to Continuity

Intermediate Value Theorem
Suppose $$f$$ is continuous on a closed interval $$[a,b]$$. If $$k$$ is any number between $$f(a)$$ and $$f(b)$$, then there is at least one number $$c$$ in $$[a,b]$$ such that $$f(c) = k$$.