question archive 1) Sketch a graph of y=e^x and y=ln(x)
1) Sketch a graph of y=e^x and y=ln(x)
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1) Sketch a graph of y=e^x and y=ln(x). Compare and contrast the graphs, describing their domain, range, and any asymptotes. What connections are their between the graphs? Explain why these connections occur.
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y=ex : Domain (-inf,inf) Range: (0,inf) asymptote: x=0
y=ln(x): Domain (0,inf) Range (-inf,inf) asymptote y=0
These graphs are reflections of each other since the functions are inverses of each other
y=ex
x=ey
ln(x)=yln(e)
ln(x)=y
Please see the attached file for the complete solution
