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

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

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

Want to graph a natural base exponential function? Make a table of points! Then plot the points, connect them, and you have your graph! Follow along with this tutorial to see the entire process step-by-step.