Exponential Functions
Transformations of exponential functions
Properties of exponents
Exponential Growth versus Exponential Decay
Domain and Range
Basic shape of the graph of a parent exponential function
Example of application
Asymptotes
The asymptote is the line that is closet to the x-axis
On a function, it is the number that adds or subtracts to the rest of it
Exponential growth is greater constant increase of with time
Exponential decay is constant decrease with time
Domain
click to edit
click to edit
It is what creates the line curve on the graph
In exponential decay, the total value decreases but the proportion that leaves remains constant over time
It also creates the curve on the graph
On a function, if A is positive and B is greater than 1, then it is exponential growth
On a function, if A is positive and B is less than 1 but greater than 0, then it is exponential decay.
The domain of exponential functions is all real numbers.
Range
The range is all real numbers greater than zero.