Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one 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 curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Which of the following is NOT a function? (9,5), (10,5), (9,-5), (10,-5)

Back

This set is a function because each input (first number) is unique.

Tags

CCSS.8.F.A.1

Front

Which of the following is a function? (3,4), (4,-3), (7,4), (3,8)

Back

This set is NOT a function because the input '3' is related to two different outputs (4 and 8).

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input has exactly one output.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1

Front

Does the set {(1,2), (2,3), (3,4)} represent a function?

Back

Yes, this set represents a function because each input is unique.

Tags

CCSS.8.F.A.1

Front

Does the set {(1,2), (1,3), (2,4)} represent a function?

Back

No, this set does not represent a function because the input '1' is associated with two different outputs (2 and 3).

Tags

CCSS.8.F.A.1