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

(i) Let `f:A→A`, given by
`f(x)=x/2​`

For one−one:

Calculate `f(x_1​):`

` f(x_1​)=(x_1)/2​​`

Similarly, `f(x_2​):`

` f(x_2​)=(x_2_/2​​`

Now, `f(x_1​)=f(x_2​)`

` (x_1)/2​​​​=(x_2)/2​​​`

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