Functions and Relations

Vocabulary

100

All of the x-values or input values in a relation are part of the _________

What is domain?

200

All of the y-values or output values are part of the ___________

What is range?

300

A ________________ is a set of ordered pairs.

What is relation?

400

A __________________ assigns each element in set A (x-values) to exactly ONE element in set B (y-values).

What is a function?

500

This is used to determine if a graph is or is not a function.

What is the vertical line test?

Is It a Function?

100

Is the set of ordered pairs a function? {(2, 1) (4, 1) (6,3) (5,2)}

YES

200

A function is a special type of relation where every ___ value has exactly one output, or ___ value.

What is x, y?

300

Determine if the following relation is a function. Explain why or why not. {(9, 0), (3, 0), (2, 2), (-3, -4)}

What is YES? Because the x-values do NOT repeat

400

Look at the graph on the board. 

What is NO because it fails the vertical line test.

500

Look at the mapping on the board.

What is YES because each x-value maps to only one y-value.

Relations/Domain and Range

100

The domain of the relation {(1,0), (-2, 3), (3, 4)} would be:

What is {-2, 1, 3}?

200

Write the range of this relation: {(8,7), (-6, 3), (2, 0)}

What is {0, 3, 7}?

300

Name three ways to show a relation.

What is a set of ordered pairs, graph, and table?

400

Show the relation {(0, 4), (-7, 5), (8, 3), (-7, 2)} as a mapping.

See white boards for mapping.

Domain (-7, 0, 8)   Range (2, 3, 4, 5)

500

Show the relation {(6, 4), (-3, -2), (6, 0), (-4, 4)} as a graph. Write the domain and range.

See whiteboards. D: {(-4, -3, 6)} R: {(-2, 0, 4)}

Coordinate Plane Review

100

The name of the horizontal axis is called______________.

What is the x-axis?

200

Another name for the coordinates (0,0) would be the _______________.

What is the origin?

300

The number of quadrants on a coordinate plane.

What are four?

400

Give an example of an ordered pair and what quadrant your example would be found in.

Answers will vary.

500

Write an example of an ordered pair. Circle the first number. This number is called the________________.

What is the x coordinate?