The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have a cos function:
y = 3/2 cos(3x) + 1
We know,
f(x) = acos(bx - c) + d
The above function represents the cos function where:
a = amplitude
b = is the period of the function
c = phase shift
d = vertical shift
On comparing we get:
a = 3/2
Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
Learn more about the cos function here:
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