Functions and Relations Warmup

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no x-value is repeated with different y-values.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but may also include pairs where an x-value is associated with multiple y-values.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in one set (domain) is paired with elements in another set (range).

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value corresponds to only one y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of pairs {(1, 2), (1, 3)}, where the x-value 1 is associated with two different y-values.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values, which can be used to determine if a relation is a function.