1. Examples
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}`
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}`
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}`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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