Functions, Domain and Range

Front

What is the definition of a function?

Back

A relation that maps every domain value to exactly one range value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Identify if the following set of ordered pairs is a function: (1, 2), (2, 3), (1, 4).

Back

Not a function, because the input '1' maps to two different outputs (2 and 4).

Front

What is the vertical line test?

Back

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

Given the ordered pairs (3, 5), (4, 6), (5, 7), what is the domain?

Back

The domain is {3, 4, 5}.

Front

Given the ordered pairs (3, 5), (4, 6), (5, 7), what is the range?

Back

The range is {5, 6, 7}.

Front

Which of the following is a function? (1, 2), (2, 3), (3, 4) or (1, 2), (1, 3), (2, 4)?

Back

(1, 2), (2, 3), (3, 4) is a function.

Front

What is an example of a function in equation form?

Back

f(x) = 2x + 3.

Front

If f(x) = 3x - 1, what is f(2)?

Back

f(2) = 3(2) - 1 = 5.