SOLUTION: Consider the function f(x)=log3(x) and g(x)=log3(x-3)+4. Graph f(x) and g(x). Be sure to label each axes and graph appropiately.

Algebra ->  Coordinate-system -> SOLUTION: Consider the function f(x)=log3(x) and g(x)=log3(x-3)+4. Graph f(x) and g(x). Be sure to label each axes and graph appropiately.      Log On


   

Question 818190: Consider the function f(x)=log3(x) and g(x)=log3(x-3)+4. Graph f(x) and g(x). Be sure to label each axes and graph appropiately.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Here's the graphs. Function f is in red and function g is in green. It should look like g is the same as f except it has been moved to the right by 3 and up by 4.

Important:
  • The graph of f may appear to touch the y-axis. This is a flaw in algebra.com's graphing software. The y-axis is an asymptote which the graph of f approaches but never reaches. The same is true for g and the vertical line x = 3.
  • Another flaw is that when graphs get very steep, like these two, the software does not draw the steep parts. So both of these graphs keep going downward. (f next to the y-axis and g next to the line x=3.