Question

Fill in the blanks so that the resulting statement is true. If f is a polynomial function and​ f(a) and​ f(b) have opposite​ signs, then there must be at least one value of c between a and b for which ​f(c)equals​_______ This result is called the ​_______ Theorem.

Answer 1

f(c) equals zero

Intermediate Value Theorem

Explanation:

Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.