SOLUTION: graph the function f(x)= | log(x) |

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Question 812418: graph the function
f(x)= | log(x) |
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First graph the equation y = log(x). Then, for any part of that graph which is below the x-axis, reflect it to the other side of the x-axis.

The graph of y = log(x):
graph%28400%2C+400%2C+-2%2C+4%2C+-3%2C+3%2C+log%2810%2C+%28x%29%29%29
Note: This graph does not hit the y-axis. But a flaw in algebra.com's graphing software makes it look like it does.

Now we reflect the part below the x-axis to the other side:
graph%28400%2C+400%2C+-2%2C+4%2C+-3%2C+3%2C+abs%28log%2810%2C+%28x%29%29%29%29
Again we have the mistaken appearance that the graph hits the y-axis. Note also that at the point (1, 0) there is a somewhat sharp turn. It is not a smooth curve at that point.