Functions & Function Notation

Front

What is a function?

Back

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

Front

How do you read f(x)?

Back

"f of x"

Front

What is the range of a function?

Back

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

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input corresponds to exactly one output.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where f is the function and x is the input.

Front

What is the domain of a function?

Back

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

Front

If f(3) = 2, what does this mean?

Back

This means that when the input is 3, the output of the function f is 2.

Front

What is the vertical line test?

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x, there is 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.