Question

What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=−3x^4−3x^3−8x+2 f(x)=3x^3−8x^2−x+1

Answer 1

f(x) = -3x⁴ - 3x³ - 8x + 2

As x -> ∞, f(x) -> -∞

As x -> -∞, f(x) -> -∞

f(x) = 3x³ - 8x² - x + 1

As x -> ∞, f(x) -> ∞

As x -> -∞, f(x) -> -∞

Explanation:

Graph both functions.

End behavior is what happens to the y-values when x-values approach either +∞ or -∞.