Question

What is the end behavior of the function f(x)=5/4x^2

As x→∞ , f(x)→−∞

As x→−∞ , f(x)→∞




As x→∞ , f(x)→∞

As x→−∞ , f(x)→−∞




As x→∞ , f(x)→−∞

As x→−∞ , f(x)→−∞




As x→∞ , f(x)→∞

As x→−∞ , f(x)→∞

Answer 1

As x→∞ , f(x)→∞

As x→-∞, f(x)→∞

Explanation:

Considering equation: f(x) =
`(5)/(4)`x²

As x goes to infinity, the value of x² is always positive so f(x) goes to positive infinity.

As x goes to negative infinity, the value of x² is still positive so f(x) still goes to positive infinity.