Chapter 24.3
Master Domain and Range of Functions
Unlock the power of domain and range in functions. Learn to analyze graphs, solve equations, and apply these essential concepts to real-world problems. Boost your algebra skills today!
What You'll Learn
Identify the domain of a function by finding all possible x-values from graphs or ordered pairs
Determine the range of a function by finding all possible y-values from graphs or ordered pairs
Express domain and range using set notation and interval notation
Apply the vertical line test to determine if a relation is a function
Distinguish between continuous and discrete graphs when stating domain and range
Interpret open and closed dots to determine whether endpoints are included
What You'll Practice
1
Finding domain and range from discrete point graphs using list notation
2
Stating domain and range from continuous curves using interval notation
3
Determining domain and range from graphs with arrows indicating infinity
4
Applying the vertical line test to classify relations and functions
5
Working with graphs containing hollow circles and closed dots at endpoints
Why This Matters
Understanding domain and range is essential for analyzing any function you encounter in algebra and calculus. These concepts help you determine valid inputs and outputs, which is critical for solving real-world problems in physics, engineering, and economics where variables have meaningful restrictions.
Before You Start — Make Sure You Can:
This Unit Includes
18 Video lessons
Learning resources
Skills
Domain
Range
Functions
Relations
Vertical Line Test
Interval Notation
Set Notation
Graphing
