Question

I NEED HELP PLEASE ASAP! :)

Answer 1

Answer:

2nd option: Infinite discontinuity.

Step-by-step explanation:

The equation $f(x) = \frac{-4}{x^{2} }$ is a rational equation with an asymptote at x = 0. (Pictured below)

An asymptote is an example of an infinite discontinuity because:

As x⇒ 0 from x = -∞, y ⇒-∞.

As x⇒ 0 from x = ∞, y⇒-∞.

This means that the limit does not exist.

Answer 2

Answer:

B. Infinite Discontinuity

Step-by-step explanation

If you graph the following equation, (maybe on desmos or calculator), you see that the graph has a vertical asymptote at x= 0 and you'll see the function graphed on both sides of x= 0. And since function approaches infinity with both sides, it is Infinite Discontinuity