Find the Range L(t)=3/2(1+sin((2t+1)/2*pi))

$L (t) = \frac{3}{2} (1 + \sin (\frac{(2 t + 1)}{2} \cdot π))$

Step 1

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

Interval Notation:

$(- \infty, - \frac{3}{2}] \cup [\frac{3}{2}, \infty)$

Set-Builder Notation:

${y | y \leq - \frac{3}{2}, y \geq \frac{3}{2}}$

Step 2