Question

O GRAPHS AND FUNCTIONSDomain and range from the graph of a piecewise function

Answer 1

`Domain:(-5,-4]\cup[-1,2]`

`Range:[-3,0)\cup[1,4]`

Step-by-step explanation:

Given:

To find:

The domain and the range

Recall that the domain of a function is the set of possible input values for which the function is defined.

To determine the domain of a function from a graph, we consider the possible x-values from left to right.

So the domain of the given function can be written as;

`Domain:(-5,-4]\cup[-1,2]`

The range of a function is the set of possible output values.

To determine the range of a function from a graph, we consider the possible y-values from the bottom to the top.

So the range of the given function can be written as;

`Range:[-3,0)\cup[1,4]`