Question

Which of the following describes the end behavior of the graph of the function
f(x) = –x6 – 3x4 + 7x – 5?

a. downward to the left and upward to the right
b.upward to the left and downward to the right
c.downward to the left and downward to the right
d.upward to the left and upward to the right

Answer 1

for large ± numbers the first term , -x^6 ,
is the "dominating" term, the other terms become more and more insignifant.

try a large positive + number,
e.g. x = 100
-x^6 = -1000000000000
x = -100
-x^6 = -1000000000000
so what do you think happens at both ends?

Answer 2

something