415,807 views
10 votes
10 votes
How many cycles Find amplitude Find period of each function

How many cycles Find amplitude Find period of each function-example-1
User Douglas Mesquita
by
2.8k points

1 Answer

13 votes
13 votes

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}

How many cycles Find amplitude Find period of each function-example-1
User Jake H
by
2.7k points