SOLUTION: The function defined by f(x) = ln|x| plays a prominent role in calculus. Find its domain, range, and the symetries of its graph. Sketch its graph.

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Question 1030844: The function defined by f(x) = ln|x| plays a prominent role in calculus. Find its domain, range, and the symetries of its graph. Sketch its graph.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C200%2C-10%2C10%2C-25%2C10%2Cln%28abs%28x%29%29%29
graph%28300%2C200%2C-2%2C2%2C-5%2C3%2Cln%28abs%28x%29%29%29
Important to remember absolute value of (x), so that minus values will give a real value of the ln.
Domain is all x except x=0. (-oo,0)U(0,oo)
Range is all y.
Symmetric around the y-axis (even function).