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Popular Functions >

monotone f(x)=(x^2-1)/(x-2)

Solution

monotone intervals

f (x) = \frac{x ^{2} - 1}{x - 2}

Solution

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

Solution steps

f^{'} (x) = \frac{x ^{2} - 4 x + 1}{( x - 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 2 - 3,

Decreasing

: 2 - 3 < x < 2,

Decreasing

: 2 < x < 2 + 3,

Increasing

: 2 + 3 < x < \infty

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

Graph

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Frequently Asked Questions (FAQ)

What is the monotone f(x)=(x^2-1)/(x-2) ?
The monotone f(x)=(x^2-1)/(x-2) is