1. Find Range of `f:A->B`
`f(x)=5x+2` where `A={1<=x<5}`

Solution:
Here `A={1<=x<5}`

`:. D_f={1,2,3,4}`

Here `f(x)=5x+2`

`f(1)``=5*1+2`

`=5+2`

`=7`

`f(2)``=5*2+2`

`=10+2`

`=12`

`f(3)``=5*3+2`

`=15+2`

`=17`

`f(4)``=5*4+2`

`=20+2`

`=22`

`:.R_f={7,12,17,22}`

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2. Find Range of `f:A->B`
`f(x)=sqrt(x)` where `A={1,4,16,36}`

Solution:
Here `A={1,4,16,36}`

`:. D_f={1,4,16,36}`

Here `f(x)=sqrt(x)`

`f(1)=sqrt(1)`

`=1`

`f(4)=sqrt(4)`

`=2`

`f(16)=sqrt(16)`

`=4`

`f(36)=sqrt(36)`

`=6`

`:.R_f={1,2,4,6}`

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3. Find Range of `f:A->B`
`f(x)=x^2` where `A={[1,5]}`

Solution:
Here `A={[1,5]}`

`:. D_f={1,2,3,4,5}`

Here `f(x)=x^2`

`f(1)=1^2`

`=1`

`f(2)=2^2`

`=4`

`f(3)=3^2`

`=9`

`f(4)=4^2`

`=16`

`f(5)=5^2`

`=25`

`:.R_f={1,4,9,16,25}`

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