Hello, JMV!
Graph: . The only intercept is the origin: (0, 0).
The function is: .
Since , there are no vertical asymptotes.
Since , the horizontal asymptote is: . (xaxis)
First derivative: .
We see that: for , horizontal tangent (critical point).
. . For ... graph is rising (up to the critical point)
. . For ... graph is falling (down to the xaxis)
When . . . We have the point (1, 1.1) Code:

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We can examine the second derivative.
It simplifies to: .
. . For , concave down
. . At , inflection point at about (2, 0.8)
. . For , concave up
All of which agrees with my sketch . . . whew!