What is the Natural Base Exponential Function?

What is the Natural Base Exponential Function?

Note:

The natural base exponential function is actually a function that's shorter than its name! This tutorial introduces you to this special function and shows you what it looks like.

Keywords:

  • definition
  • natural base
  • exponential function
  • e

Background Tutorials

  • Evaluate functions, expressed in function notation, given one or more elements in their domains

      • What's an Exponential Function?What's an Exponential Function?

      What's an Exponential Function?

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

  • Graph the functions f(x)=?x, f(x)=1/x, f(x)=x3, f(x)= 3?x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

      • What is Domain?What is Domain?

      What is Domain?

      Did you know that a relation has a domain? The domain of a relation is the set of the first coordinates from the ordered pairs. This tutorial defines the domain of a relation!

Further Exploration

  • Graph the functions f(x)=?x, f(x)=1/x, f(x)=x3, f(x)= 3?x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval