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Popular Functions >

monotone f(x)= x/(x^2-4x+3)

Solution

monotone intervals

f (x) = \frac{x}{x ^{2} - 4 x + 3}

Solution

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < 1, Increasing : 1 < x < 3, Decreasing : 3 < x < 3, Decreasing : 3 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 3}{( x ^{2} - 4 x + 3 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 1,

Increasing

: 1 < x < 3,

Decreasing

: 3 < x < 3,

Decreasing

: 3 < x < \infty

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < 1, Increasing : 1 < x < 3, Decreasing : 3 < x < 3, Decreasing : 3 < x < \infty

Graph

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Frequently Asked Questions (FAQ)

What is the monotone f(x)= x/(x^2-4x+3) ?
The monotone f(x)= x/(x^2-4x+3) is