The range of f is the set of all real numbers and the range of f would not change if the value of n is changed
The range of f when n = 5
The function is given as:
[tex]f(x) =\left \{ {{x - 1;\ \ x < n} \atop {- x + 4;\ \ x \ge n}} \right.[/tex]
When n = 5, we have:
The domain of the function is:
x < 5 and x ≥ 5
This means that the domain is the set of all real numbers.
The function is a linear piece wise function, and the range of a linear function is the set of all real numbers.
Hence, the range of f is the set of all real numbers.
Does changing the value of n change the range?
As stated in (a) the range of a linear function is the set of all real numbers.
This means that irrespective of the value of n; the range would remain the same
Hence, the range of f would not change if the value of n is changed
Read more about piecewise functions at:
https://brainly.com/question/18859540
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