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Exponential Function : Domain, x- and y-Intercepts, Asymptotes, Concavity and Inflection

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F(x) = e^x/x

For f(x), find the following:

1. domain of f
2. y intercepts of f
3. x intercepts of f
4. horizontal asymptote
5. vertical asymptote
6. oblique asymptotes
7. intervals where f is increasing and decreasing:
8. relative minima of f and relative maxima of f.
9. intervals where f is concave down
10. intervals where f is concave up
11. points of inflection of f
12. plot f(x).

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Solution Summary

Domain, x- and y-Intercepts, asymptotes, concavity and inflection are investigated for f(x) = e^x/x.

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Please see the attached file for the complete solution.

f(x) = ex/x
1. domain of f = All real numbers except x = 0
2. y intercepts of f: The curve does not cut the y-axis anywhere. ...

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