Question

The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?

Answer 1

Actually, I think the question should be, "In what range(s) of x-values must there be a root of the POLYNOMIAL?" Unless you are working with some real strange maths, polynomials are smooth and continuous. If you drew a smooth and continuous line through the points in the graph, where would the line have to cross the x-axis?