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In this lesson, we will learn how to observe the links between the degree of a polynomial function, the x-intercepts of its graph, and the roots of the function.

Q1:

Determine whether the following statement is true: If the graph of a polynomial does NOT cross the π₯ -axis, then the degree of the polynomial is even.

Q2:

The given graph represents a polynomial function.

What can be said about the degree of this polynomial?

Q3:

Determine whether the following statement is true: If the graph of a function meets the axis infinitely many times, then the function is not polynomial.

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