Functions & Function Notation

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

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 name and x is the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

A set of values is a function if no two ordered pairs have the same first element (input) but different second elements (output).

Tags

CCSS.8.F.A.1

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

How do you read f(x)?

Back

You read f(x) as 'f of x'.

Tags

CCSS.HSF.IF.A.1

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a table represents a function?

Back

If a table represents a function, each input value corresponds to exactly one output value.

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function may have multiple outputs for the same input.

Tags

CCSS.8.F.A.1