1.

Check the injective and surjective of the following functions : f : Z rarr Z given by f(x) = x^2

Answer»

Solution :We have `f(-1) = (-1)^2 = 1` and
`f(1) = 1^2 =1 `
`THEREFORE` f maps both -1 and 1 to 1
`therefore ` f is not injective
Since SQUARE of an integers can.t EXIST an integer X satisfying `x^3 = -1 `
`therefore,` f is not a subjective


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