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

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

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

monotone intervals

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

Decreasing : - \infty < x < - \frac{3}{4}, Increasing : - \frac{3}{4} < x < \infty

Solution steps

f^{'} (x) = 4 x + 3

Find intervals:

Decreasing

: - \infty < x < - \frac{3}{4},

Increasing

: - \frac{3}{4} < x < \infty

Decreasing : - \infty < x < - \frac{3}{4}, Increasing : - \frac{3}{4} < x < \infty

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