How Do You Identify Exponential Behavior from a Pattern in the Data?

How Do You Identify Exponential Behavior from a Pattern in the Data?

Note:

Take a look at how you identify exponential behavior from a pattern in your data. You'll also see how to figure out if that pattern represents exponential growth or exponential decay. Check it out!

Keywords:

  • problem
  • exponential behavior
  • basic exponential graphs
  • behavior of exponential functions
  • identifying patterns in exponential data

Background Tutorials

  • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

      • What's the Reciprocal Rule of Division?What's the Reciprocal Rule of Division?

      What's the Reciprocal Rule of Division?

      When you divide fractions, the trick is to rewrite division as a multiplication. But the truth is that you can always rewrite division as a multiplication, and in this tutorial you'll see the rule that makes that possible!

  • Use the properties of exponents to transform expressions for exponential functions.

      • 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.

  • Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

      • What is Function Notation?What is Function Notation?

      What is Function Notation?

      Every see 'f(x)' in your math? That's function notation! It's a way to indicate that an equation is a function. Learn about function notation by watching this tutorial.

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.