What is the monotone x^2+2x-1-(2x^2-3x+6) ?

The monotone x^2+2x-1-(2x^2-3x+6) is Increasing:-infinity <x< 5/2 ,Decreasing: 5/2 <x<infinity

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monotone x^2+2x-1-(2x^2-3x+6)

monotone intervals

x^{2} + 2 x - 1 - (2 x^{2} - 3 x + 6)

Increasing : - \infty < x < \frac{5}{2}, Decreasing : \frac{5}{2} < x < \infty

Solution steps

f^{'} (x) = - 2 x + 5

Find intervals:

Increasing

: - \infty < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < \infty

Increasing : - \infty < x < \frac{5}{2}, Decreasing : \frac{5}{2} < x < \infty

What is the monotone x^2+2x-1-(2x^2-3x+6) ?
The monotone x^2+2x-1-(2x^2-3x+6) is Increasing:-infinity <x< 5/2 ,Decreasing: 5/2 <x<infinity