Is it a Function

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

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If any vertical line intersects the curve at more than one point, then the curve is not a function.

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

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 set of ordered pairs (1, 2), (2, 3), (3, 4). Each x-value is unique.

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 ordered pairs (1, 2), (1, 3). The x-value 1 corresponds to two different y-values.

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 an element in another set (range).

Front

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

Back

To determine if a set of ordered pairs represents a function, check if each x-value is unique and does not repeat.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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