Trigonometry Examples

$y = 4 \sin (\frac{π}{6} x) - 2$

Step 1

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

Interval Notation:

$[- 6, 2]$

Set-Builder Notation:

${y | - 6 \leq y \leq 2}$

Step 2