Exploring Mappings and Tables in Functions

What is the definition of a function?

• A relation where each input has exactly one output

• A relation where each output has multiple inputs

• A relation where each output has exactly one input

• A relation where each input has multiple outputs

In a function, what is the relationship between x and y?

• x can have multiple y values

• y can have multiple x values

• Neither x nor y can have multiple values

• x and y can both have multiple values

What should you check in a mapping diagram to determine if a relation is a function?

• If each x value maps to exactly one y value

• If each y value maps to exactly one x value

• If each y value maps to multiple x values

• If each x value maps to multiple y values

Why is the relation where 1 maps to both -1 and 1 not a function?

• Because 1 maps to multiple y values

• Because -1 maps to multiple x values

• Because 1 maps to only one y value

• Because 1 maps to no y values

In a mapping diagram, what indicates that a relation is a function?

• Each y value maps to multiple x values

• Each y value maps to exactly one x value

• Each x value maps to multiple y values

• Each x value maps to exactly one y value

What is the 'double standard' in functions?

• Neither x nor y can have multiple values

• y can have multiple x values but x cannot have multiple y values

• Both x and y can have multiple values

• x can have multiple y values but y cannot have multiple x values

When looking at a table, what indicates that a relation is not a function?

• If any x value repeats

• If any y value repeats

• If all x values are different

• If all y values are different

In a table, what should you focus on to determine if a relation is a function?

• Both x and y values

• The x values

• Neither x nor y values

• The y values

What makes a relation a function in a table?

• Each y value has exactly one x value

• Each x value has exactly one y value

• Each x value has multiple y values

• Each y value has multiple x values

What will be covered in the next video?

• Diagonal line test

• Horizontal line test

• Parallel line test

• Vertical line test