The rational function \ \

Exclude value of the function is x = 0 \ \

Equate y \\' to zero, to get critical points. \ \

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The only critical number of function x = 2. \ \

If f \\'(x) > 0 (Positive) for all x in (a, b), then f(x) is increasing on [a, b].

If f \\'(x) < 0 (Negative) for all x in (a, b), then f(x) is decreasing on [a, b].

Test intervals    x - Value          Polynomial or f \\'(x) value             Conclusion

(- ∞,  2)           x = - 1                        Decreasing \ \

(2, ∞)                x = 3                  Decreasing \ \

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