Relations and 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 paired with exactly one output.

Front

How can 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 are ordered pairs?

Back

Ordered pairs are pairs of numbers written in the form (x, y), where x is the input and y is the output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that creates a straight line when graphed, typically in the form y = mx + b.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) that the function can accept.

Front

What is the range of a function?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.