Question

Describe the end behavior of the function y=x^3−x^2
.(1 point)
Responses

y→−∞ as x→−∞ and y→−∞ as x→+∞

y→−∞ as x→−∞ and y→−∞ as x→+∞


y→+∞ as x→−∞ and y→+∞ as x→+∞

y→+∞ as x→−∞ and y→+∞ as x→+∞


y→+∞ as x→−∞ and y→−∞ as x→+∞

y→+∞ as x→−∞ and y→−∞ as x→+∞


y→−∞ as x→−∞ and y→+∞ as x→+∞

y→−∞ as x→−∞ and y→+∞ as x→+∞

Answer 1

y → −∞ as x → −∞ and y → +∞ as x → +∞.

Reason: the cubic term x^3 dominates for large |x| (odd degree, positive leading coefficient).