Question

How do you graph `y=xlnx`?

Answer 1

See tally-mark like graph and explanation.

Explanation:

`x>0` to make ln x real.

The x-intercept ( y = 0 ) is 1.

At x= o, y takes the indeterminate form `0 X (-oo)`

Yet, the limit is 0. since x approaches 0 at a faster rate than ln x

approaches 0, as `x to 0_+`.

When `x in(0. 1], y < 0`.

As `x to oo, y to oo`.

graph{y-x ln x=0 [-2.338, 2.337, -1.168, 1.17]}