What can you say about the end behavior of the function ?
f(x)= -4x^6 + 6x^2 - 52
check all that apply
a. f(x) is even so both ends of the graph go in opposite directions.
b. f(x) is even so both ends of the graph go in the same direction.
c. the leading coefficient is negative so the left end of the graph goes up.
d. the leading coefficient is negative so the left end of the graph goes down

If the degree is even, then both ends of the graph go in the same direction, either both up or both down

if the degree is odd then both ends go in oposite directions

if the leading coefient (coefient of the highest powerd placeholder) is negative, then 2 possiblities could happen

1. if the degree of te function is even, then both ends point up
2. if the degree is odd, then the ends go from top left to bottom right

so we've got f(x)=-4x^6+6x^2-52
even degree and negative

so both ends point down
goes from bottom left to bottom right

B and D are the answers