Question

Piece-wise functions

Answer 1

• see the attachment for a graph
• domain: all real numbers
• range: -6 and y>-5

Explanation:

The graph below was created by a graphing utility.

It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.

It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:

{-6} ∪ {y > -5}