Exponential Functions

Description

The equation of an exponential function can be written in the form $f(x) = ab^x$, where $a\neq 0$, $b>0$, and $b\neq1$. The graph of an exponential function is either strictly increasing or strictly decreasing. The graph has a horizontal asymptote, which is a horizontal line that the curve approaches as $x$ approaches infinity or negative infinity. All exponential functions can be graphed as transformations of the parent function $f(x) = b^x$. A data set displayed in a scatterplot may approximate the shape of the graph of an exponential function. Technology can be used to generate an exponential function that best fits the data.