Find the Domain and Range y=1/2cos(2x)-1

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: ${\displaystyle [-\frac{3}{2},-\frac{1}{2}],\left\{y\right|-\frac{3}{2}\le y\le -\frac{1}{2}\}}$