Question

What is the end behavior of the function f of x equals 3 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0

Answer 1

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Explanation:

I got it right on the test.

Answer 2

`f(x) = 3 \sqrt[3]{x}`

`lim f(x) = 3 \sqrt[3]{ - \infty } = - \infty \\ x = > - \infty`

`limf(x) = 3 \sqrt[3]{ \infty } = \infty \\ x = > \infty`