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A function is a relation in which each element of the domain is paired with exactly one element in the range. Two types of functions are the exponential functions and the logarithmic functions. Exponential functions are the functions in the form of y = ax, where ''a'' is a positive real number, greater than zero and not equal to one. Logarithmic functions are the inverse of exponential functions, y = loga x, where ''a'' is greater to …

…the rapid growth of bacteria with an exponential function and understand how radioactive decay can be used to date artifacts found at archeological sites. Social Studies While studying exponential growth, students can use an exponential model to express population growth. Technology While studying logarithmic and exponential functions, students can explore changes in the functions and corresponding changes in their graphs. Students can also employ technology to fit a mathematical model to exponential or logarithmic data.