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Popular Functions >

monotone (x^2+2x+4)/(x-2)

Solution

monotone intervals

\frac{x ^{2} + 2 x + 4}{x - 2}

Solution

Increasing : - \infty < x < 2 (1 - 3), Decreasing : 2 (1 - 3) < x < 2, Decreasing : 2 < x < 2 (1 + 3), Increasing : 2 (1 + 3) < x < \infty

Solution steps

f^{'} (x) = \frac{x ^{2} - 4 x - 8}{( x - 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 2 (1 - 3),

Decreasing

: 2 (1 - 3) < x < 2,

Decreasing

: 2 < x < 2 (1 + 3),

Increasing

: 2 (1 + 3) < x < \infty

Increasing : - \infty < x < 2 (1 - 3), Decreasing : 2 (1 - 3) < x < 2, Decreasing : 2 < x < 2 (1 + 3), Increasing : 2 (1 + 3) < x < \infty

Graph

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perpendicular y=-1/2 x+4

Frequently Asked Questions (FAQ)

What is the monotone (x^2+2x+4)/(x-2) ?
The monotone (x^2+2x+4)/(x-2) is