Question

The graph of $\tan ^{-1} x$ is

• A.
• B.
• C.
• D.

Answer 1

Answer: (D)

$\tan ^{-1}: R \rightarrow\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$. Since, the graph of $\tan ^{-1} x$ is the mirror image of the graph of $\tan x$ along $y=x$, therefore the graphs of the function $y=\tan x$ and $y=\tan ^{-1} x$ are given as