Identifying Functions

Front

What is a function?

Back

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

Front

What is the definition of 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 range in a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

Identify if this is a function: {(1,2), (1,3), (2,4)}

Back

Not a function, because the x-value '1' is paired with two different y-values (2 and 3).

Front

Identify if this is a function: {(3,4), (4,5), (5,6)}

Back

Function, because each x-value is paired with exactly one y-value.

Front

What are outputs in a function?

Back

Outputs are the y-values in a function, representing the results of applying the function to the inputs.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

Which of the following is NOT a function: {(2,3), (3,4), (2,5)}?

Back

Not a function, because the x-value '2' is paired with two different y-values (3 and 5).

Front

What is a vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.