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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
<h3>The range of f when n = 5</h3>The function is given as:
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.
<h3>Does changing the value of n change the range?</h3>
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:
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