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erin512
 2 years ago
Choose the best descriptor for the graph of f(x) = ln(x  5).
a. It increases rapidly, goes through the point (5,1), then increases gradually.
b. It increases slowly, goes through the point (5,1), then increases rapidly.
c. It increases slowly, goes through the point (6,0), then increases gradually.
d. It increases rapidly, goes through the point (6,0), then increases gradually.
erin512
 2 years ago
Choose the best descriptor for the graph of f(x) = ln(x  5). a. It increases rapidly, goes through the point (5,1), then increases gradually. b. It increases slowly, goes through the point (5,1), then increases rapidly. c. It increases slowly, goes through the point (6,0), then increases gradually. d. It increases rapidly, goes through the point (6,0), then increases gradually.

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LolWolf
 2 years ago
Best ResponseYou've already chosen the best response.1D. To get an intuition: http://fooplot.com/plot/1vfpzakasr Also, at \(x=6\), we have \(\ln(65)=\ln(1)=0\) since: \(e^0=1\), and the graph tends down to \(\infty\) as \(x\to5\), since \(\ln(0^+)\) (Very near zero, on the positive end) tends to negative infinity.
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