Answer:
The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=x-7[/tex]
The domain is the interval [tex]\{-2,-1,0,1,2\}[/tex] ----> given problem
Remember that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
To find out the range of the function , find the value of y for each value of x
so
For x=-2 ----> y=-2-7=-9
For x=-1 ----> y=-1-7=-8
For x=0 ----> y=0-7=-7
For x=1 ----> y=1-7=-6
For x=2 ----> y=2-7=-5
therefore
The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]
The graph in the attached figure
