Domain and Range of Functions

Domain and Range

• Domain of a Function: Refers to all possible input values (x-values) that a function can accept. This is crucial for determining where the function is defined.
• Range of a Function: Represents all possible output values (y-values) that a function can produce. Understanding the range helps to identify the function's behavior.

Notation Types

• Interval Notation: A concise way to express the set of real numbers lying between two specified points.

  • Uses brackets [ ] to include endpoints.
  • Uses parentheses ( ) to exclude endpoints. This allows for precise representation of open and closed intervals.

• Set Notation: A mathematical notation that describes a set by establishing a rule based on the properties of its members.

  • Typically expressed in the form {x | condition}, where "x" encompasses the elements satisfying the "condition".

Additional Concepts

• Function Transformation: Refers to graphical changes to a function, such as shifts, stretches, and reflections. Understanding transformations is essential for manipulating and solving equations effectively.

Explore the essential concepts of domain and range in this quiz. Understand how to use interval and set notation effectively for different scenarios. Perfect for students learning about functions and their transformations.