Question

What can you say about the end behavior of the function
`f(x) = -4x^6 + 6x^2-52`

(Possibly multiple choice)

A. f(x) is even so both ends of the graph go in the same direction.
B. The leading coefficient is negative so the left end of the graph goes down.
C. f(x) is even so both ends of the graph go in opposite directions.
D. The leading coefficient is negative so the left end of the graph goes up.

Answer 1

Option A. is even so both ends of the graph go in the same direction.

Explanation:

Graphing the function give we can recognize the factor is even, but at the same time both the ends go in the same direction.