Relations Flashcard Review

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input is paired with exactly one output.

Front

How do you determine if a relation is a function?

Back

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

Front

What is the output of the function rule y = x - 6 when x = 18?

Back

12

Front

What is the output of the function rule y = x + 3 when x = 4?

Back

7

Front

What does the notation {(0, 1), (1, 2), (2, 2), (3, 4)} represent?

Back

It represents a relation with ordered pairs where the first number is the input and the second number is the output.

Front

What is the output of the function rule y = 3x when x = 3?

Back

9

Front

If a function rule is y = 2x + 1, what is the output when x = 5?

Back

11

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function has only one output for each input.

Front

What is the output of the function rule y = x^2 when x = 4?

Back

16