8.5G Functions II

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same x-value with different y-values.

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is a unique corresponding value of y.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but also includes any pairing of x and y values.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What does it mean for a graph to show a proportional relationship?

Back

A proportional relationship means that the ratio of y to x is constant, and the graph is a straight line that passes through the origin.

Front

What is a table of values?

Back

A table of values lists pairs of x and y values, which can be used to determine if a relationship is a function.