Algebra 1 - Poudre School District
Algebra 1 Notes – Lesson 3.1 Name _________________________
Definition of a Function:
_________________________________________________________________________________________________
I. Use a mapping diagram to determine whether each relation is a function.
1. {(3, 7), (3, 8), (3, -2), (3, 4), (3, 1)} 2. {(6, -7), (5, -8), (1, 4), (5, 5)}
Is it a function? ___________ Is it a function? __________
3. {(0.04, 0.2), (0.2, 1), (1, 5), (5, 25)} 4. {(4, 2), (1,1), (0, 0), (1, -1), (4, -2)}
Is it a function? ___________ Is it a function? __________
5. 6.
Is it a function? ___________ Is it a function? __________
7.
8.
Is it a function? ___________ Is it a function? __________
9. 10.
Is it a function? ___________ Is it a function? __________
II. Use the vertical-line test to determine whether each relation is a function.
Vertical Line Test Definition: ___________________________________________________________________________
Is it a function? __________ Is it a function? ___________
Graph below.
9. {(2, 5), (3, -5), (4, 5), (5, -5)}
Is it a function? ___________
10. {(5, 0), (0, 5), (5, 1), (1, 5)}
Is it a function? ___________
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III. Finding the Domain and Range
Domain: _____________________________________
_____________________________________________
Range: __________________________________
_______________________________________
Find the domain and range of the function represented by the graph.
11) 12) 13)
D: ____________________ D: ____________________ D: ___________________
R: ___________________ R: ___________________ R: ___________________
***Use highlighters for these problems.
16) 17) 18)
D: ____________________ D: ____________________ D: ___________________
R: ___________________ R: ___________________ R: ___________________
Identifying Independent and Dependent Variables:
Independent variables: __________________________________________________________
Dependent variables: ___________________________________________________________
Examples:
The function y = 12x represents the number y of pages of text a computer printer can print in x minutes.
a. Identify the independent and dependent variables.
b. The domain is 1, 2, 3, and 4. What is the range?
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