Question

For the given table of values for a polynomial function, where must the zeros of the function lie?

x f(x)
3.0 4.0
3.5 -0.2
4.0 -0.8
4.5 0.1
5.0 0.6
5.5 0.7

Answer 1

between 3.0 and 3.5
another one between 4.0 and 4.5
Because a polynomial function is always continuous . and hence whenever there is a change of sign, it will cut the x-axis once