Question

Which describes the behavior of the function f(x)=tan^-1(x)?

Answer 1

The answer is C I just took the test.

Answer 2

The correct answer is option C

Step-by-step explanation

The graph of
`f(x)=tan^(-1)(x)` is shown in the attachment.

You can see clearly that as

`x\rightarrow \infty, f(x)\rightarrow (\pi)/(2)`

and as

`x\rightarrow -\infty, f(x)\rightarrow -(\pi)/(2)`

These are are actually the two horizontal asymptotes to the given function.