# What is the range of the function y=-2sin(2x+pi)-4?

Nov 6, 2017

Range: y such that $- 6 \le y \le - 2$

#### Explanation:

...The sine of any quantity varies between -1 and 1. That's all you need to know about the quantity in parenthesis $\left(2 x + \pi\right)$

When $\sin \left(2 x + \pi\right) = - 1$, $y = \left(- 2\right) \left(- 1\right) - 4 = 2 - 4 = - 2$

When $\sin \left(2 x + \pi\right) = 1$, $y = \left(- 2\right) \left(1\right) - 4 = - 6$

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