Find the Domain and Range y=2-2/3cos(x-pi/2)

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: ${\displaystyle [\frac{4}{3},\frac{8}{3}],\left\{y\right|\frac{4}{3}\le y\le \frac{8}{3}\}}$