Question

Consider the curve y=f(x) of the function

f(x)=e^(2x-x^2)

A)Find the domain of f

B)Find the x,y-intercept

C)Find f'(x) and f''(x)

D)Find the critical points of the function f

E)Find where the curve is increasing and where its decreasing

F)find the point of inflection if any and discuss the concavity of the curve

G) identify any asymptotes

I)plot the key points and sketch the curve

Answer 1

The answer to your question is provided below