CHAPTER 10
SECTION 10.3
Domain and Range
MINI LESSON
Domain and Range
The domain of a function is the set of all possible input values, or x-values.
The range of a function is the set of all possible output values, or y-values.
When reading a graph, the domain describes how far the graph extends left and right, and the range describes how far it extends up and down.
Question 1
The range of f(x) = |−x + 2| − 5 is
Question 2
Which function has a domain of all real numbers and a range greater than or equal to three?
Question 3
A function is graphed on the set of axes below. The domain of this function is

Question 4
The graph of f(x) is shown below. The domain of this function is

Answer Key
Domain and Range
- 1.A. y ≥ −5
- 2.B. g(x) = x² + 3
- 3.B. {x | x ≥ −2}
- 4.C. 0 < x ≤ 12