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:

Find the magnitude of the trig term by taking the absolute value of the coefficient.

The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.

Subtract from .

The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.

Subtract from .

The range is .

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain:

Range:

Find the Domain and Range y=-3sin(x)-4