1. Exponential Functions Graphing

2. Exponential Functions  Graphing exponential functions is just like graphing any other function.  Look at the graph.  What is the domain?  (-∞, ∞)  What is the range?  (0, ∞)  Do you see anything else?  Asymptote?  y = 0  Y-intercept?  (0, 1)

3. Exponential Functions  Do you think those things are always the same?  Try out a few on your calculator.  y = 2 x  y = 3 x  y = 5 x  y = 7 x  y = -2 x What do you see? What is the same? What is different?

4. Exponential Functions  So we have determined that the y-intercept is always the same and the asymptote is always the same.  What will happen if I change the function to this:  y = 2 x-3  What about this:  y = 2 x+3  What about this:  y = 2 2x+3  What about this:  y = 2 x -1

5. Exponential Functions  You can use your calculator, but make sure you know where all of your points are.  Identify your asymptote.  If it is not y = 0, then it is going to be based off of a transformation.  It must be given as y =.  Identify your y-intercept.  You can get this from the table or use the transformations.  It must be given as a point.  And try to plot at least one more point.  Sometimes the points just won’t fit!