What's an Exponential Function?

What's an Exponential Function?

Note:

Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.

Keywords:

  • definition
  • exponential function
  • exponential
  • function
  • exponent

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.

      • What are Exponents?What are Exponents?

      What are Exponents?

      Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

  • Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

      • What's a Function?What's a Function?

      What's a Function?

      You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!

Further Exploration

  • Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

      • How Do You Graph an Exponential Function Using a Table?How Do You Graph an Exponential Function Using a Table?

      How Do You Graph an Exponential Function Using a Table?

      Graphing an exponential function? No sweat! Create a table of values to give you ordered pairs. Then, plot those ordered pair on a coordinate plane and connect the points to make your graph! Follow along with this tutorial as it shows you all the steps.

  • Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.