Question

In Exercises 25–26, the domain of each piecewise function is (-⬁,⬁). a. Graph each function. b. Use the graph to determine the function’s range.

Answer 1

We have to graph this piecewise function.

It will be two horizontal lines that change when x = -1: to the left it will be y = 5, as x ≤ 1, and to the right, it will be y = -3.

We can see it graphed as:

b) The range is the set of values that f(x) takes for the domain for which it is defined.

We can see that f(x) only takes two values: y = -3 and y = 5, so the set {-3,5} is the range of f(x).

Answer:

a) Graph

b) Range = {-3, 5}