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Write whether f: R->R given by f(x)=x+sq...

Write whether `f: R->R` given by `f(x)=x+sqrt(x^2)` is one-one, many-one, onto or into.

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`f(x)=x+sqrt{x^{2}} ldots ldots . .[` Given `]`

`f(x)=x+sqrt{x^{2}}=x neq x=0` or `2 x`

So, each element `x` in the domain may contain 2.

For example,

`Rightarrow {f}(0)=0+sqrt{0^{2}}=0`

`Rightarrow {f}(-1)=-1+sqrt{(-1)^{2}}=-1+1=0`

...
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