What is the monotone f(x)=(5-x)(2x-3) ?

The monotone f(x)=(5-x)(2x-3) is Increasing:-infinity <x< 13/4 ,Decreasing: 13/4 <x<infinity

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monotone f(x)=(5-x)(2x-3)

monotone intervals

f (x) = (5 - x) (2 x - 3)

Increasing : - \infty < x < \frac{13}{4}, Decreasing : \frac{13}{4} < x < \infty

Solution steps

f^{'} (x) = - 4 x + 13

Find intervals:

Increasing

: - \infty < x < \frac{13}{4},

Decreasing

: \frac{13}{4} < x < \infty

Increasing : - \infty < x < \frac{13}{4}, Decreasing : \frac{13}{4} < x < \infty

What is the monotone f(x)=(5-x)(2x-3) ?
The monotone f(x)=(5-x)(2x-3) is Increasing:-infinity <x< 13/4 ,Decreasing: 13/4 <x<infinity