Question

Which of the following graphs represents a function that has a negative

leading coefficient? Check all that apply.

Answer 1

Answer: A. B. C.

Explanation:

A P E X

Answer 2

Graph A

Graph B

Graph C

Explanation:

we know that

The graph of the polynomial function eventually rises or falls depends on the leading coefficient (an) and the degree of the polynomial function (n)

Verify each case

Graph A

Graph rises to the left and falls to the right ----> When n is odd and an is negative

In this case n=3 (cubic function)

Graph B

Graph falls to the left and right ----> When n is even and an is negative

In this case n=2 (quadratic function)

Graph C

Graph rises to the left and falls to the right ----> When n is odd and an is negative

In this case n=1 (linear function)

Graph D

Graph rises to the left and right ---> When n is even and an is positive

In this case n=2 (quadratic function)