Exponential Functions
F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables... and sketch graphs showing key features... Also A.REI.11, F.IF.7.e, F.LE.5
Exponential Function:
To define what exponential growth is, we can look at the function y=a times b to the power of x, where a can not equal to 0, b is greater than 0, b can not equal to 1, and x is a real number.
Let's look at a few examples containing these rules.
For example lets graph y=(2)^x
As you can see, this is an exponential growth graph, because the value of b is greater than 1.
Now let's check out another example where b is less than 1. As we can see, since b is less than 1 the graph is a decay. However, what if we add a -2 in front of the function. In the second picture, we see the graph flip on the negative side of the y-axis.
