Question

Describe the end behavior of f(x) = 3x^4 + 8x^2 − 22x + 43

A) Down on the left, down on the right
B) Down on the left, up on the right
C) Up on the left, down on the right
D) Up on the left, up on the right

Answer 1

D up on the left , up on the right I tried

Answer 2

D) Up on the left, up on the right

Explanation:

When looking at the end behavior, the only term that matters is the 3x^4 term

as x goes to negative infinity

3 *(- inf)^4 = 3 * positive number = positive infinity

so as x goes to negative infinity f(x) increases

as x goes to infinity

3 *( inf)^4 = 3 * positive number = positive infinity

so as x goes to infinity f(x) increases