Answer:
d. The left side continues up, and the right side continues up.
Explanation:
We have been given a polynomial
. We are asked to describe the end behavior of our given polynomial.
We know that for a function of form
, if n is even and
, then
- The function approaches positive infinity (continues up) as x approaches negative infinity.
- The function approaches positive infinity (continues up) as x approaches positive infinity.
We know that for a function of form
, if n is even and
, then
- The function approaches negative infinity (continues down) as x approaches negative infinity.
- The function approaches negative infinity (continues down) as x approaches positive infinity.
We can see that for our given polynomial the value of 'n' is even and
, which is greater than 0. So both sides of our given function continues up.
Therefore, option D is the correct choice.