Relations vs functions Questionbank

True

False

A person mapped to all the phone numbers they currently own

A group of students mapped to their final mathematics grade

A grocery store item mapped to its specific barcode

A person mapped to their unique passport number

Functions and relations are two entirely separate, unrelated categories

All functions are relations, but not all relations are functions

A relation only becomes a function if the domain and range have the same size

All relations are functions, but not all functions are relations

True

False

True

False

True, but only if $y = 0$

False, because it fails the vertical line test

Because it is a many-to-one mapping

Because some inputs have no outputs

Because one input can produce two different outputs

Because it is a linear relationship

$\{(1, a), (1, b), (2, c)\}$

$\{(1, a), (1, b), (2, b)\}$

$\{(1, a), (2, b), (3, c)\}$

$\{(1, a), (2, a), (3, a)\}$

A set where every $y$ value must be greater than its corresponding $x$ value

A list containing only the unique values found in set $A$

The collection of pairs where $x \in A$ and $y \in B$ according to a specific rule

The product of $x$ and $y$ for all values in $A$ and $B$

Multiple arrows leaving a single input dot

Arrows crossing each other in the middle

Multiple arrows pointing to a single output dot

A single arrow leaving each input dot to a unique output dot

This is a one-to-many relation but not a function

This is a many-to-one relation and a function

This is a one-to-many relation and a function

This is a many-to-one relation but not a function