Question

How many cycles Find amplitude Find period of each function

Answer 1

Given: A graph if the sine function-

Required: To find no of cycles, amplitude, and the period of the given sine function.

Explanation: The no of cycles of f(x) is 8 from 0 to 2pie with a maximum of +4 and a minimum of -4. Hence, the amplitude is +4.

Now, the period is the length of the interval in which the function completes one full cycle.

Here the period of the given function is

`Period=(\pi)/(4)`

Final Answer:

`\begin{gathered} Cycles=8 \\ Amplitude=4 \\ Period=(\pi)/(4) \end{gathered}`