Exponential Functions

I have removed all annotations from my videos that were used to correct errors (YouTube is getting rid of Annotattions) Any errors in the videos have been corrected in the NOTES. If you have already subscribed, you can use your User Name and your Password to download the NOTES in a MS WORD FILE. or a PDF FILE. (If you have trouble downloading the file on your phone, use the Opera Browser) If you haven't subscribed, subscribe now

CORRECTION: ON MINUTE 19:22 THE GRAPH OF F(X)=2(3^X) GOES THRU 2, NOT 1. THE NEXT GRAPHS HAVE TO BE FIXED, ACCORDINGLY. Definition of exponential function. Examples: f(x)=x^2 is NOT exponential. f(x)=2^x IS exponential. Graphs of exponential fucntions. Damain and Range. Transformations of exponential functions: horizontal and vertical shifts; compressions and stretches; reflections.