The range of a function f(a) = |a| - 3 is {-3, -2, 0, 2} if the domain of a function is {–3, –1, 0, 5}.
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:
f(a) = |a| - 3
The domain = {–3, –1, 0, 5}
Plug a = -3
f(-3) = |-3| - 3
f(-3) = 3 - 3 = 0
f(-1) = |-1| - 3 = -2
f(0) = 0 - 3 = -3
f(5) = |-5| - 3 = 5-3 = 2
The range = {-3, -2, 0, 2}
Thus, the range of a function f(a) = |a| - 3 is {-3, -2, 0, 2} if the domain of a function is {–3, –1, 0, 5}.
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