Question

For polynomial function f, if f(3)=5 and f(5)=-2, what do we know about any roots of f(x)?

Answer 1

There is a root between x=3 and x=5.

Explanation:

Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.