find the amplitude and period of the sinusoidal function. simplify any fractions. amplitude = period =

Explanation:

Step1: Find the amplitude

The amplitude of a sinusoidal function is half the distance between the maximum and minimum values. The maximum value is (-3) and the minimum value is (-5). The distance between them is (|-3 - (-5)|= 2). So the amplitude (A=\frac{|-3-(-5)|}{2}=1)

Step2: Find the period

The period of a sinusoidal function is the length of one complete cycle. From the graph, one complete cycle occurs from (0) to (4\pi). So the period (T = 4\pi)

Answer:

amplitude (= 1) period (=4\pi)