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

A) the leading coefficient is negative so the left end of the graph goes down.

B) f (x) is even so both ends of the graph go in opposite directions.

C) f (x) is even so both ends of the graph go in the same direction.

D) the leading coefficient is negative so the left end of the graph goes up.

Question

Mathematics

Sophia Farmer

28 January, 04:18

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

A) the leading coefficient is negative so the left end of the graph goes down.

B) f (x) is even so both ends of the graph go in opposite directions.

C) f (x) is even so both ends of the graph go in the same direction.

D) the leading coefficient is negative so the left end of the graph goes up.

+2

Answers (1)

Know the Answer?

Rayan Nixon · Answer 1

Letter C is correct.

When the function is even, (all powers are even) both ends will go in the same direction.

In this case since the leading coefficient is negative, both ends will go down.