Algebra Examples

$y = \frac{3}{2} \cos (4 x) - 1$

Step 1

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

Interval Notation:

$[- \frac{5}{2}, \frac{1}{2}]$

Set-Builder Notation:

${y | - \frac{5}{2} \leq y \leq \frac{1}{2}}$

Step 2