The graph of a polynomial function f is shown. Select all the true statements about the polynomial.

Question

The graph of a polynomial function f is shown. Select all the true statements about the polynomial.

 

A: The degree of the polynomial is even.

B: The degree of the polynomial is odd.

C: The leading coefficient is positive.

D: The leading coefficient is negative.

E: The constant term of the polynomial is positive.

F: The constant term of the polynomial is negative.

Answer 1

This is an odd degree polynomial since end behavior is +infinitely when x is positive and -infinity when x is negative. For an even degree polynomial en behavior will be positive regardless of the sign as a negative number raised to an even power is always positive

The leading coefficient is positive other wise the function would be flipped around the x axis

Inspect the graph. when x=0 y is 6 so the constant is +6which is Positive