Question

Will give brainiest and extra points if the answer is correct

Answer 1

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of $-22^{\circ}$ to a high of $16^{\circ}$.

Step-by-step explanation:

In the sinusoidal function $y=a\sin(b(x-c))+d$, $|a|$ represents the amplitude and $y=d$ represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at $y=d-|a|$ and the maximums must occur at $y=d+|a|$.

Thus, the minimum, or low, occurs at $y=-3-|-19|=-3-19=\boxed{-22}$ and the maximum, or high, occurs at $y=-3+|-19|=-3+19=\boxed{16}$.