Question

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.

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.