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Study Guides > Intermediate Algebra

Introduction: Domain and Range

Functions are a correspondence between two sets, called the domain and the range. When defining a function, you usually state what kind of numbers the domain (x) and range (f(x)) values can be. But even if you say they are real numbers, that doesn’t mean that all real numbers can be used for x. It also doesn’t mean that all real numbers can be function values, f(x). There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this lesson you will do the following:
  • Use the order of operations to simplify expressions, including those with parentheses
  • Identify functions that are one-to-one
  • Find domain and range from the graph of a function

The learning activities for this outcome include:

  • Read: Domain Restrictions
  • Self-Check: Domain Restrictions
  • Read: Identify a One-to-One Function
  • Self-Check: Identify a One-to-One Function
  • Read: Find Domain and Range from a Graph
  • Self-Check: Find Domain and Range from a Graph