Identifying Functions from tables, mappings, and ordered pairs

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 relation is a function from a set of ordered pairs?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What does it mean for a mapping to represent a function?

Back

A mapping represents a function if each input is associated with exactly one output.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the x-value 1 has two different y-values.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

In the context of functions, what is a domain?

Back

The domain of a function is the set of all possible input values (x-values) for that function.

Front

What is a range in relation to functions?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you identify a function from a table of values?

Back

A function can be identified from a table if each x-value corresponds to only one y-value.

Front

What is the significance of ordered pairs in identifying functions?

Back

Ordered pairs help visualize the relationship between inputs and outputs, making it easier to determine if a relation is a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.