Question

If `R_(1)={(x,y)|y=2x+7,` where `x in R and -5lexle5}` is a relation. Then, find the domain and range of `R_(1)`

Answer 1

We have, `R_(1)={(x,y)|y=2x+7,` where `x in R and -5lexle5}`
Domain of `R_(1)={-5le x le, x in R}`
`=[-5,5]`
`:. y=2x +7`
When `x=-5, then y=2(-5)+7=-3`
When x =5, then `y=2(5) + 7 =17`
`:.` Range of `R_(1)={-3 leyle 17, y in R}`
=[-3,17]