An asymptote is a line on the graph of a function representing a value toward which the function may approach, but does not reach (with certain exceptions).
A function is asymptotic to a given line if the given line is an asymptote of the function.
An exponential function is a function whose variable is in the exponent. The general form is .
grows without bound
If a function grows without bound, it has no limit (it stretches to ).
A horizontal asymptote is a horizontal line that indicates where a function flattens out as the independent variable gets very large or very small. A function may touch or pass through a horizontal asymptote.
Transformations are used to change the graph of a parent function into the graph of a more complex function.
Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology.