Question

R(x) = −x5 + 4x3 − 3x
(a) Describe the end behavior of the polynomial function.
End behavior: y → rises to the right
Incorrect: Your answer is incorrect.
as x → ∞
y → falls to the left
Incorrect: Your answer is incorrect.
as x → −∞
can someone explain what I did wrong here? and make corrections if I did?

Answer 1

as x→∞, -x^5 becomes more and more negative: it falls to the right: y→-∞

Similarly, as x→-∞, -x^5 rises to the left: y→∞

Since x^5 becomes so much greater than any lower powers of x, only the highest power needs to be considered.

I think maybe you missed the leading minus sign on x^5