Question

What are the domain and range of the piecewise function below?

Answer 1

Explanation:

Given is a graph of a piecewise funciton

Domain is the set of all values x can take

Here we see that the lowest value of x starts from -6 excluding -6 and goes upto -2 exclusing -2.

From 2 onwards x takes all values without break upto infinity.

Hence domain =

`(-6,-2) U (-2,\infty)`

Range:

Range is the set of all values that y can take.

We see from the graph that y takes values from 4 to 8 excluding end values and then continuous values from -1 to 1.

Range =
`(4,8)U[-1,1]`