Let `A=[-1,1]dot` Then, discuss whether the following functions from A to itself are one-one onto or bijective: `f(x)=x/2` (ii) `g(x)=|x|` (iii) `h(x)=x^2`

Explanation

`f: A Rightarrow A`, given by `f(x)=frac{x}{2}`


Injection test :


Let `x` and `y` be any two elements in the domain `(A)`, such that `f(x)=f(y)`.



`f(x)=f(y) `


`frac{x}{2}=frac{y}{2}`


`x=y`



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