# Playing with Graphs --- 2

Calculus Level 4

$\large{ f (x) = \frac{(x - \alpha)(x - \beta)}{(x - \gamma)(x - \delta)}}$

You are given the function $$f(x)$$ as described above where $$\alpha , \beta , \gamma$$ and $$\delta$$ are distinct real numbers.

Find the probability that the function formed is always increasing or always decreasing at any point on its graph.

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