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 associated with exactly one output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no input value corresponds to more than one output value.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, 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) for which the function is defined.

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 pattern in the context of functions?

Back

A pattern in functions refers to a consistent relationship between the input and output values, often expressed as a rule.

Front

How do you identify a pattern in a set of ordered pairs?

Back

To identify a pattern, look for consistent changes in the input and output values, such as constant differences or ratios.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output (y) changes for a unit change in the input (x).