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}`
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