On an interval #[a,b]#, #f# is a continuous function. If #f(a)<0# and #f(b)>0#, then there exists a constant #c\in [a,b]# such that #f(c)=0# by which theorem?

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1 Answer
Sep 23, 2017

The answer is the intermediate value theorem

Explanation:

This is the intermediate value theorem.

The function #f(x)# is continuous on the interval #[a,b]# such that #f(a)<0# and #f(b)>0#, then there exists #c in [a,b]# such that #f(c)=0#