How do you graph $f(x)= x ln (x) - x$ ?

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Answer 1 · 2017-11-11T17:40:58

See below.

No y axis intercepts since $ln(0)$ is undefined.

$x$ axis intercepts where $y=0$ .

$xlnx-x=0$

$xlnx=x=>lnx=1<=>e^1=x$

x axis intercept at $( e , 0 )$

as $x->oo$ , $color(white)(88)xlnx-x->oo$

Graph:

graph{y=x(lnx)-x [-10, 10, -5, 5]}

How do you graph f(x)= x ln (x) - xf(x)= x ln (x) - x?