Find the Domain and Range f(x)=arctan(x)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

The range is the set of all valid ${\displaystyle y}$ values. Use the graph to find the range.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain: ${\displaystyle (-\infty ,\infty ),\left\{x\right|x\in ℝ\}}$

Range: ${\displaystyle (-\frac{\pi }{2},\frac{\pi }{2}),\left\{y\right|-\frac{\pi }{2}<y<\frac{\pi }{2}\}}$