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Graphing Overview

Exponential Functions

An exponential function is a function where a variable is found in the exponent. Exponential functions model many real life situations and are prevalent in news data.

Exponential functions are in the form: Exponential1-1, where k is a constant. Graphs of exponential functions can grow or decay at startling rates. They turn quickly from a gradual increase to a steep vertical rise.

See the table and graph of a basic exponential function below.

Exponential1-2


expo_table

Exponential1-3




Here are some situations that can be modeled by exponential functions:
  • Savings accumulating compound interest (amount vs. time).
  • The spread of rumors (insiders vs. time).
  • The decay of radioactive elements (amount vs. time).