Question

HELP PLEASEQuestion is in the photo.I need both Part A and Part B.

Answer 1

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:

$f(x) =\left \{ {{x - 1;\ \ x < n} \atop {- x + 4;\ \ x \ge n}} \right.$

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:

brainly.com/question/18859540

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