Is it a Function? Practice

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input is related to more than one output.

Front

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

Back

A set of ordered pairs is a function if no two pairs have the same first element (input) with different second elements (outputs).

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

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 5), (4, 7) is a function because each input (first number) is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3) is not a function because the input '1' is related to two different outputs.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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

Front

What is a mapping diagram?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is related to exactly one input, and no two inputs share the same output.