Mathematik-Online problems: Problem 113: Curve Sketching of a Logarithmic Function

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	Mathematik-Online problems:
	Problem 113: Curve Sketching of a Logarithmic Function

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Let

and

be the real functions given by $f(x)=\sqrt{3+2x}-x$ and $g(x)=\ln\,(f(x))$ .

a): Determine 's domain and sketch the graph. What is 's domain?
b): Examine with regard to zero points, asymptotes and local extrema.
c): How do and behave at the domain's boundary points?
d): Draw the graph of the function . note: $\ln 2\approx 0,69; \ \ln 3\approx 1,10$ .

(Authors: Kimmerle/Roggenkamp/Rump/Abele)

Solution:

automatisch erstellt am 24. 10. 2007