What is the monotone f(x)=(x+7)^3-2 ?

The monotone f(x)=(x+7)^3-2 is Increasing:-infinity <x<-7,Increasing:-7<x<infinity

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monotone f(x)=(x+7)^3-2

monotone intervals

f (x) = (x + 7)^{3} - 2

Increasing : - \infty < x < - 7, Increasing : - 7 < x < \infty

Solution steps

f^{'} (x) = 3 x^{2} + 42 x + 147

Find intervals:

Increasing

: - \infty < x < - 7,

Increasing

: - 7 < x < \infty

Increasing : - \infty < x < - 7, Increasing : - 7 < x < \infty

What is the monotone f(x)=(x+7)^3-2 ?
The monotone f(x)=(x+7)^3-2 is Increasing:-infinity <x<-7,Increasing:-7<x<infinity