Question

What is the period of the sinusoidal function?Enter your answer in the box.

Answer 1

Answer:

The period of the function is $10$

Step-by-step explanation:

The graph completes one cycle in the interval $[-10,0]$.

The length of this interval is $|0--10|=10$.

The graph completes another cycle within the interval $[0,10]$.

The length of this interval too is $|10-0|=10$.

This means that after every 10 units, the graph repeats itself. Therefore the period is 10.

The graph is a sine function because it is symmetric about the origin.

Its equation is $y=\frac{\pi x}{5}$.