Intro to Functions

Front

What is a function?

Back

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

Front

How can you tell if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element with different second elements.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, because the input 1 has two different outputs.

Front

What does the notation f(x) mean?

Back

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

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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