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? ___________

[pic] [pic]

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?

-----------------------

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download