Question 1158623
The function f(x)=4sqrt(x)−8x^2/x is not a very interesting one, and may not the the function intended.
I suspect the function intended could have been f(x)=(4sqrt(x)-8x^2)/x , which means {{{f(x)}}}{{{"="}}}{{{(4sqrt(x)-8x^2)/x}}} , also not an interesting function.

The domain of f(x)=(4sqrt(x)-8x^2)/x is {{{x>0}}} , which can be expressed as {{{"(0,"}}}{{{infinity}}}{{{")"}}} .
The graph of {{{f(x)}}}{{{"="}}{{{(4sqrt(x)-8x^2)/x}}}{{{"="}}}{{{4/sqrt(x)-8x}}} is {{{graph(300,200,-2,13,-90,10,(4sqrt(x)-8x^2)/x)}}}
The derivative is negative throughout the domain of the function, meaning that the function decreases continuously.
Its absolute extremes in the interval [1, 10] are
{{{f(1)}}}{{{"="}}}{{{(4sqrt(1)-8*1^2)/1}}}{{{"="}}}{{{(4*1-8)/1}}}{{{"="}}}{{{(4-8)/1}}}{{{"="}}}{{{(-4)/1=highlight(-4)}}} , a maximum, and
{{{f(10)}}}{{{"="}}}{{{(4sqrt(10)-8*10^2)/10}}}{{{"="}}}{{{(4sqrt(10)-8*100)/10}}}, a minimum, with a rounded value of {{{highlight(-67.35)}}}
 
The domain of f(x)=4sqrt(x)−8x^2/x is {{{"(0,"}}}{{{infinity}}}{{{")"}}} . 
That function is {{{f(x)=4sqrt(x)}}}{{{-8x^2/x}}}{{{"="}}}{{{system(4sqrt(x)-8x,x>0)}}}
Its graph is {{{graph(300,200,-2,13,-90,10,4sqrt(x)-8x)}}}
The derivative is negative throughout the domain of the function, meaning that the function decreases continuously.
Its absolute extremes in the interval [1, 10] are
{{{f(1)=4sqrt(1)-8*1=4*1-8=4-8=highlight(-4)}}} , a maximum, and
{{{f(10)=4sqrt(10)-8*10=highlight(4sqrt(10)-8)}}}, a minimum, with a rounded value of {{{highlight(-78.735)}}}