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Find the complete set of values of alpha...

Find the complete set of values of `alpha`for which the function
f(x) =`{(x+1,xlt1`
`alpha`, x =1 , is strictly increasing x=1
`x^(2)-x+3,xlt1`

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To find the complete set of values of \( \alpha \) for which the function \[ f(x) = \begin{cases} x + 1 & \text{if } x < 1 \\ \alpha & \text{if } x = 1 \\ x^2 - x + 3 & \text{if } x > 1 ...
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