Recognizing Functions: Ordered Pairs, Mapping Diagrams, Tables, and Graphs

This lesson teaches how to recognize functions by examining ordered pairs, mapping diagrams, tables, and graphs. It explains the concepts of domain and range, and how to differentiate between relations and functions. The video uses examples to illustrate these concepts, including a practical scenario involving a summer job to demonstrate how functions work in real life. Common misunderstandings about functions are also addressed.

What is the domain in a relation?

• The set of all output values

• The set of all input values

• The set of all ordered pairs

• The set of all mapping diagrams

How is a discrete graph different from a continuous graph?

• A discrete graph has a continuous line

• A continuous graph has no points

• A continuous graph has individual points

• A discrete graph has individual points

What defines a function in terms of input and output?

• No outputs for any input

• Exactly one output for every input

• Multiple outputs for a single input

• Multiple inputs for a single output

In a mapping diagram, which scenario indicates a relation is not a function?

• Each input has one output

• An input has multiple outputs

• An output has multiple inputs

• Each output has one input

What is a common misunderstanding about functions?

• Functions must have different outputs for each input

• Functions can have multiple outputs for one input

• Functions can have the same output for different inputs

• Functions cannot have any outputs

In the summer job example, what is the independent variable?

• The amount of money earned

• The number of hours worked

• The total weekly earnings

• The hourly wage

What is the range in the summer job example?

• 0 to 3 hours

• 0 to $12

• 0 to $120

• 0 to 10 hours