Precalculus Examples

$y = 3 \sin (x - \frac{π}{6}) - 4$

Step 1

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

Interval Notation:

$[- 7, - 1]$

Set-Builder Notation:

${y | - 7 \leq y \leq - 1}$

Step 2