Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-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 value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Which of the following is a function? (9,5) (10,5) (9,-5) (10,-5), (6,-5) (7,-3) (8,-1) (9,1)

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if it passes the vertical line test; no vertical line should intersect the graph at more than one point.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

Is the relation {(1,2), (2,3), (1,4)} a function? Why?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1