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
[tex]Period=\frac{\pi}{4}[/tex]
Final Answer:
[tex]\begin{gathered} Cycles=8 \\ Amplitude=4 \\ Period=\frac{\pi}{4} \end{gathered}[/tex]
