Posted by Catherine on Wednesday, April 6, 2011 at 12:07am.
Please answer the following questions about the function
f(x)=e^(0.5x^2)
Instructions: If you are asked to find x or yvalues, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if you are asked to find an interval or union of intervals, and enter { } if the interval is empty.
(a) Find the critical numbers of f, where it is increasing and decreasing, and its local extrema.
Critical numbers x=
Increasing on the interval
Decreasing on the interval
Local maxima x=
Local minima x=
(b) Find where f is concave up, concave down, and has inflection points.
Concave up on the interval=
Concave down on the interval =
Inflection points x=
Find any horizontal and vertical asymptotes of f.
Horizontal asymptotes y=
Vertical asymptotes x=
My answers were:
Critical numbers x= none
Increasing on the interval = didn't have anything
Decreasing on the interval =(INF,0.5)U(0.5,0.5)U(0.5,INF)
Local maxima x= none
Local minima x= none
Concave up on the interval= (0.5,0)U(0.5,INF)
Concave down on the interval = (INF,0.5)U(0,0.5)
Inflection points x= none
Horizontal asymptotes y= none
Vertical asymptotes x=none
Amost none of them is right, only the local minima and the vertical asymtote, please help, I'm not sure how to do this problem.

Calculus (urgent!!)  Mgraph, Wednesday, April 6, 2011 at 10:13am
Critical number x=0
Increasing on interval (Inf,0)
Decreasing on interval (0,Inf)
Local maxima x=0
Local minima x=none
Concave up on (Inf,1)U(1,Inf)
Concave down on (1,1)
Inflection points x=1,x=1
Horizontal asymptotes y=0
Vertical asymptotes x=none
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