Question

Analyzing the equation of the function, h(x) , helps me determine the end behavior because

answers
I look to see if lc and degree are even or odd
I look to see if the lc is even or odd and what the value of the degree is
I look to see if the is positive or negative and if the degree is even or odd
I look to see if the lc is between zero and one or greater than one and if the degree is even or odd
I look to see if the lc is between zero and one or greater than one and what the value of the degree is

Answer 1

Correct answer: "I look to see if the lc is positive or negative and if the degree is even or odd."

Why: For a polynomial the end behavior depends only on the leading coefficient (lc) sign and the degree parity:
- Even degree & positive lc: both ends up.
- Even degree & negative lc: both ends down.
- Odd degree & positive lc: left down, right up.
- Odd degree & negative lc: left up, right down.

(Here lc = leading coefficient.)