Functions and Relations Concepts

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is a relation?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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).

Front

What does f(x) represent?

Back

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

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the vertical line test?

Back

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

Front

What is an example of a non-function relation?

Back

An example of a non-function relation is the set of points that form a circle, as a vertical line can intersect it at two points.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.