What is the monotone f(x)=2x^2+7x+10 ?

The monotone f(x)=2x^2+7x+10 is Decreasing:-infinity <x<-7/4 ,Increasing:-7/4 <x<infinity

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monotone f(x)=2x^2+7x+10

monotone intervals

f (x) = 2 x^{2} + 7 x + 10

Decreasing : - \infty < x < - \frac{7}{4}, Increasing : - \frac{7}{4} < x < \infty

Solution steps

f^{'} (x) = 4 x + 7

Find intervals:

Decreasing

: - \infty < x < - \frac{7}{4},

Increasing

: - \frac{7}{4} < x < \infty

Decreasing : - \infty < x < - \frac{7}{4}, Increasing : - \frac{7}{4} < x < \infty

f (x) = \frac{x ^{2} + x - 20}{x + 5}

4 x + 9

- x + 8

- 3 x + 4

f (x) = 10 x^{\frac{1}{3}} - 9

What is the monotone f(x)=2x^2+7x+10 ?
The monotone f(x)=2x^2+7x+10 is Decreasing:-infinity <x<-7/4 ,Increasing:-7/4 <x<infinity