Question

Given that the polynomial f(x) has 5 turning points, which of the following most accurately describes the degree of f(x)?

1) Linear
2) Quadratic
3) Cubic
4) Quartic

Answer 1

The polynomial f(x) with 5 turning points is most likely a quartic.

Step-by-step explanation:

The polynomial f(x) with 5 turning points is most likely a quartic. A quadratic function is a second-order polynomial, meaning it has at most 2 turning points. A cubic function has at most 3 turning points. Therefore, a quartic function, which is a fourth-order polynomial, is the most accurate option for a polynomial with 5 turning points.