Domain and range of a function graph worksheet with answers – This comprehensive worksheet delves into the fundamental concepts of domain and range, providing an engaging exploration of these key elements of function graphs. Through clear definitions, illustrative examples, and guided practice exercises, students will gain a deep understanding of how to identify and analyze the domain and range of functions.

The worksheet begins by establishing the precise definitions of domain and range, laying the groundwork for further exploration. It then delves into the practical application of these concepts, explaining how to identify the domain and range of functions from their graphical representations.

This hands-on approach allows students to visualize and comprehend the relationship between the input and output values of a function.

Domain and Range of a Function Graph: Domain And Range Of A Function Graph Worksheet With Answers

In mathematics, the domain and range of a function are two sets of values that describe the input and output of the function, respectively. Understanding the domain and range of a function is essential for analyzing its behavior and determining its properties.

Domain and Range Definitions, Domain and range of a function graph worksheet with answers

• Domain:The domain of a function is the set of all possible input values for which the function is defined.
• Range:The range of a function is the set of all possible output values that the function can produce.

Identifying Domain and Range from Graphs

The domain and range of a function can be easily identified from its graph.

• Domain:The domain is the set of all x-coordinates of the points on the graph.
• Range:The range is the set of all y-coordinates of the points on the graph.

Examples of Domain and Range

Here are some examples of functions with different domains and ranges:

• Function:f(x) = x^2
  • Domain:All real numbers
  • Range:All non-negative real numbers
• Function:f(x) = |x|
  • Domain:All real numbers
  • Range:All non-negative real numbers
• Function:f(x) = 1/x
  • Domain:All real numbers except 0
  • Range:All real numbers except 0

Practice Exercises

Identify the domain and range of the following functions from their graphs:

1. Graph:A parabola opening upwards

   • Domain:All real numbers
   • Range:All non-negative real numbers

2. Graph:A line with a positive slope

   • Domain:All real numbers
   • Range:All real numbers

3. Graph:A circle

   • Domain:All real numbers
   • Range:All real numbers

Answers to Common Questions

What is the domain of a function?

The domain of a function is the set of all possible input values for which the function is defined.

What is the range of a function?

The range of a function is the set of all possible output values that the function can produce.

How can I identify the domain and range of a function from its graph?

To identify the domain of a function from its graph, look at the x-values of the points on the graph. The domain is the set of all x-values for which the graph is defined. To identify the range of a function from its graph, look at the y-values of the points on the graph.

The range is the set of all y-values for which the graph is defined.