identify the following using the graph. period: frequency: frequency factor: b = done

Explanation:

Step1: Define period

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

Step2: Calculate frequency

The frequency (f) is the reciprocal of the period. Using the formula (f=\frac{1}{T}), since (T = \pi), then (f=\frac{1}{\pi}).

Step3: Find frequency factor

The general form of a sinusoidal function is (y = A\sin(bx)) or (y=A\cos(bx)), and the period (T=\frac{2\pi}{b}). Since (T = \pi), we solve (\pi=\frac{2\pi}{b}) for (b). Cross - multiplying gives (\pi b=2\pi), and then (b = 2).

Answer:

Period: (\pi) Frequency: (\frac{1}{\pi}) Frequency factor (b = 2)