Question

In the power function f(x) = -2x^3, what is the end behavior of f(x) as x goes to ∞?

Answer 1

As x goes to ∞, f(x) goes to -∞

EXPLANATION :

From the problem, we have the power function :

`f(x)=-2x^3`

As x goes to infinity, the value of x^3 is always positive.

multiplied by -2, the result will be negative.

So the end behavior of f(x) as x goes to ∞ is -∞