Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a function to be defined?

Back

A function is defined when every input in its domain has a corresponding output in its range.

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 that function.

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.

Front

Give an example of a function.

Back

An example of a function is f(x) = 2x + 3, where for every x, there is a unique output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.

Front

Identify the function: {(1,2), (2,3), (3,4)} or {(1,2), (1,3), (2,4)}?

Back

The first set {(1,2), (2,3), (3,4)} is a function; the second set {(1,2), (1,3), (2,4)} is not a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.