Question

Given that a function has degree of 4, and a negative leading coefficient what is known about the function? (check all that apply)

A. The function has an even degree.
B. The function opens downward.
C. The function has a positive leading coefficient.
D. The function has an odd degree.
E. The function opens upward.

Answer 1

A function with a degree of 4 and a negative leading coefficient has an even degree and opens downward. So the correct answers are Option A and B.

Step-by-step explanation:

Given that a function has a degree of 4 and a negative leading coefficient, several characteristics can be determined:

• The function has an even degree (Answer A).
• The function opens downward (Answer B).

Since the leading coefficient is negative, Answer C (the function has a positive leading coefficient) is incorrect. Answer D (the function has an odd degree) is also incorrect because the degree is 4, which is even. Lastly, Answer E (the function opens upward) is not accurate either due to the negative leading coefficient.