Relations & Functions

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

Is the mapping {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

Evaluate f(-2) if f(x) = x² + 3.

Back

7

Front

Which of the following is a function? {(1, 1), (2, 1), (3, 1), (4, 1), (5, 1)} or {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}?

Back

{(1, 1), (2, 1), (3, 1), (4, 1), (5, 1)} is a function.

Front

For the function f(x) = -3(x-1), find f(0).

Back

3

Front

Evaluate f(-5) if f(x) = -2x - 12.

Back

-2

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

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

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

Back

7