An exponential function is a function that has a variable as an exponent and the base is positive and not equal to one. For example, f(x) = 2^x is an exponential function. Note that f(x) = x² is not an exponential function (but instead a basic polynomial function), because the exponent is a constant and not a variable. Exponential functions have graphs that are continuous curves and approach but never cross a horizontal asymptote. Many realworld

Graphs of a two exponential functions.

processes follow exponential functions or their inverses, logarithmic functions.

Exponential Change

Exponential growth is a mathematical change that increases without limit based on an exponential function. The change can be in the positive or negative direction. The important concept is that the rate of change continues to increase. Exponential decay is found in mathematical functions where the rate of change...