1.

Let `A="{"-1,0,1")"a n df={(x , x^2): xA}dot`Show that `f: AvecA`is neitherone-one nor onto.

Answer» `f(x) = x^2`
`:. f(-1) = 1, f(0) = 0, f(1) = 1`
`=>f(-1) = f(1) = 1`
It means, `f(x)` is not one-one.
Now, range of `f = {0,1}`
`A = {-1,0,1}`
As, Range of `f != A`, `f` is not onto.
`:. f: A->A` is neither one-one nor onto.


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