Learning Resources

Investigation 9: Looking Inside the Box: Properties of the Function y = ex & Investigation 10: The Derivative of y = ex

Step C

You should recall that the value of e is approximately 2.718, which is between 2 and 3. Thus, the values of y = e^xshould be between the values obtained for 
y = 2^x and y = 3^x.  Likewise, the graph of y = e^x should be located between the graphs of y = 2^x and y = 3^x. 

At which value of x do all three graphs coincide?