Question

Can some help me with this problem

Answer 1

The range is
`\{-9,-8,-7,-6,-5\}`

The graph in the attached figure

Explanation:

we have

`y=x-7`

The domain is the interval
`\{-2,-1,0,1,2\}` ----> 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
`\{-9,-8,-7,-6,-5\}`

The graph in the attached figure