Question

Which statement describes \[y=\tan^{-1}x\]?

Options

• The two branches are separated.

• The x-axis is a horizontal asymptote.

• Strictly increasing and passes through the origin \[(0,0)\].

• Strictly decreasing and crosses the y-axis at \[(0,\frac{\pi}{2})\].

Answer 1

The graph of \[y=\tan^{-1}x\] is strictly increasing. It passes through the origin because its value at \[x=0\] is \[0\].