The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function(refer to attached picture)
We know the amplitude of the function is given by:
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]
As we can see in the graph the maximum value is 0 and
the minimum value of a function is -4, thus the amplitude
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]
The amplitude of f = 2
Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
Learn more about the function here:
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