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Let A={-2,-1,0,1,2}" and "B={0,1,4,9}. ...

Let `A={-2,-1,0,1,2}" and "B={0,1,4,9}.`
Let `R={(-2,4),(-1,1),(0,0),(1,1),(2,4)}.`
(i) Show that R is a relation from A to B.
(ii) Find dom (R), range (R) and co-domain of R.

Text Solution

Verified by Experts

(i) Since `R sub AxxB,` so R is a relation from A to B.
Note that -2R4,-1R1,0R0,1R1" and "2R4.`
(ii) Dom (R)=set of first coordinates of elements of R
`={-2,-1,0,1,2}.`
Range (R)=set of first coordinates of elements of R
`={0,1,4}.`
Co-domain of `R={0,1,4,9}=B.`
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