Function Representations

Question

Consider the leading term of the function y = 4x^3 - 3x. Which describes its end behavior?

Answer 1

y= 4x^3 -3x

as x gets very large or very small, the highest degree term dominates, 4x^3. the lesser degree terms become insignificant.

as x gets very large, as it approaches infinity, 4x^3 approaches infinity

as x gets very small, as it approaches -infinity, 4x^3 approaches -infinity

Answer 2

As x -> ∞, y ->∞.

As x -> -∞, y -> -∞.