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Let A={x:-1 le x le 1}=B be a function f...

Let `A={x:-1 le x le 1}=B` be a function `f: A to B.` Then find the nature of each of the following functions.
(i) `f(x) = |x| " (ii) " f(x)=x|x|`
(iii) `f(x)=x^(3) " (iv) " f(x)="sin"(pi x)/(2)`

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The correct Answer is:
(i) Neither injecitve nor surjective (ii) bijective (iii) bijective (iv) many-one-into (v) bijective
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