The range of the function is y ∈ [-5, 1] or -5 ≤ y ≤ 1 if the function is y = 3cos4x - 2 option second is correct.
What is 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 function:
y = 3cos4x - 2
As we know, cosx ∈ [-1, 1]
-1 ≤ cosx ≤ 1
-1 ≤ cos4x ≤ 1
-3 ≤ 3cos4x ≤ 3
-5 ≤ 3cos4x - 2 ≤ 1
-5 ≤ y ≤ 1
Thus, the range of the function is y ∈ [-5, 1] or -5 ≤ y ≤ 1 if the function is y = 3cos4x - 2 option second is correct.
Learn more about the function here:
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