Answer:
Step-by-step explanation:
Given is a function of x
[tex]f(x) = xe^{-x}[/tex]
When y=0 we get x=0 and infinity
Hence x intercept is 0 and one asymptote is x axis.
When x=0 , y =0
[tex]f'(x) = e^{-x}(-x+1)[/tex]
[tex]f''(x) = e^{-x}(x-1-1)[/tex]
Maxima at x=1, and point of inflection is at x=2
Increasing upto x=1 and then decreases
Graph is enclosed
