April 12: Graphing Natural Logs and e

Post date: Apr 12, 2013 9:10:56 PM

Notes:

- y=e^x is the same as y=2.718^x (this is like graphing y=2^x)

- y=ln x is the inverse of y=e^x, so the x and y values flip

- the locator point for y=e^x is (0,1) and the next point is (1, e) and so on

-the locator point for y=ln x is (1,0) and the next point is (e,1) and so on

-the asymptote for y=e^x is y=0 and for y=ln x is x=0

-the tranformations are the same as log graphs

-if its f(x)=ln(x-3), then the graph shifts to the right three points making the new locator point (4,0) and the vertical asymptote is x=3

-if the graph was f(x)=ln x+2, then the graph would shift up two points making the new locator point (1,2) and the vertical asymptote is x=0

-if the graph was f(x)=ln(x-4)+3,then the graph would shift to the right 4 and up 3 making the new locator point (5,3), asymptote x=4

Homework:

Natural Log and the Number e worksheet