Question

Express the function `f: XvecR` given by `f(x)=x^3+1` as set of ordered pairs, where `X={-1,0,3,9,7}dot`

Answer 1

We have `f: XrarrR,f(x)=x^(3)+1`
Where `X={-1,0,3,9,7}`
When `x-1,then f(-1)=(-1)^(3)+1=-1+1=0`
`x=0, then f(0)=(0)^(3)+1=0+1=1`
`x=0 then f(3)=(3)^(3)+1=27+1=28`
`x=9,then f(9)=(9)^(3)+1=729+1=730`
`x=7, then f(7) =(7)^(3)+1=343+1=344`
`f=7, ={(-1,0),(0,1)(3, 28),(9,730),(7,344)}`
`:.` Range of `f={0,1,28,730,344}`