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The function f(x)=x^(2)-x+1 is :...

The function `f(x)=x^(2)-x+1` is :

A

increasing is `((1)/(2),oo)` and decreasing in `(-oo,(1)/(2))`

B

increasing in `(-oo,(1)/(2))` and decreasing in `((1)/(2),oo)`

C

strictly increasing in `((1)/(2),oo)` and strictly decreasing in `(- oo, (1)/(2))`

D

strictly increasing in `(-oo,(1)/(2))` and strictly decreasing in `((1)/(2),oo)`

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