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kotykmax [81]
3 years ago
13

Analyze a graph In Exercise,analyze and sketch the graph of the function.Label any relative extrema, points of inflation,and asy

mptotes.
f(x) = xe - x

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

Given is a function of x

f(x) = xe^{-x}

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

f'(x) = e^{-x}(-x+1)

f''(x) = e^{-x}(x-1-1)

Maxima at x=1, and point of inflection is at x=2

Increasing upto x=1 and then decreases

Graph is enclosed

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