What are the domain and range of the piecewise function below?
![What are the domain and range of the piecewise function below class=](https://us-static.z-dn.net/files/dcc/157cea2156525c588960404b8f1ade1b.png)
Answer:
Step-by-step 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 =
[tex](-6,-2) U (-2,\infty)[/tex]
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 =[tex](4,8)U[-1,1][/tex]