Question

What is the end behavior of the function f(x) = -3x4-x3 + 2x2 + 4x + 5?

-up on the left, up on the right
-up on the left, down on the right
-down on the left, up on the right
-down on the left, down on the right

Answer 1

the domain of the function is - infinity to -+ infinity (R), the terminal limits are unique, it is - infinity
so the answer is down on the left, down on the right

Answer 2

down on left, down on left

Explanation:

Look at the first term or the one with the highest degree.

Even Degree and positive coefficient: *up left* and *up right*

Even degree and negative coefficient: *down left* and *down right*

Odd Degree and positive coefficient: *down left* and *up right*

Odd Degree and negative coefficient: *up left* and *down right*