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Explanation:
Consider the following general periodic function:
where
a= amplitude
b = frecuency
h= phase translation
k= vertical translation
2π/ |b| = period
Now, consider the following periodic function:
Applying the definition given at the beginning of this explanation, we can see that:
a = amplitude = 3
2π/ |b| = period = 2π/|1| = 2π
Then, the graph of the given function is:
Notice that the greatest and least values of y are 3 and -3 respectively.
We can conclude that the correct answer is:
Answer:Graph:
Period:
Amplitude:
The greatest value of y (coordinate y of the maximum point):
The least value of y (coordinate y of the minimum point):