Relations & Functions

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 associated with exactly one output.

Front

What are the four quadrants of the Cartesian plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

What is the output of the function rule f(x) = x + 3 when the input is 5?

Back

8

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that the function can produce.

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 coordinate of the origin in the Cartesian plane?

Back

(0, 0)

Front

If the function rule is f(x) = 3x - 2, what is the output when the input is 4?

Back

10