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

The monotone f(x)=(x-3)^2-4 is Decreasing:-infinity <x<3,Increasing:3<x<infinity

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

monotone intervals

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

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

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

\frac{- 4 - 3 x}{7 x - 5}

y = 4^{x}

(- 3, 3), (3, - 5)

f (x) = - 4 x^{2} - 4, - 5 \leq x \leq 4

f (x) = 3 x^{3} - 2

What is the monotone f(x)=(x-3)^2-4 ?
The monotone f(x)=(x-3)^2-4 is Decreasing:-infinity <x<3,Increasing:3<x<infinity