What is the critical f(x)=|3x-4| ?

The critical f(x)=|3x-4| is x= 4/3

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critical f(x)=|3x-4|

critical points

f (x) = ∣ 3 x - 4 ∣

x = \frac{4}{3}

Solution steps

∣ 3 x - 4 ∣

Absolute value functions are piecewise functions

Find the function intervals:

x < \frac{4}{3}, x = \frac{4}{3}, x > \frac{4}{3}

Evaluate the function behavior for each interval

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{4}{3}

f (x) = 6 x - x^{2}

\frac{- 2 ( x ^{2} - 1 )}{x ^{2} - 4}

f (x) = x^{4} - 6 x^{3}

f (x) = x^{2} y + 2 x y^{2} - 2 x^{2} + 6 x y

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