Functions vs Non Function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

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 multiple outputs. This means that for some x-values, there are two or more corresponding y-values.

Tags

CCSS.8.F.A.1

Front

How can you determine if a set of ordered pairs represents a function?

Back

To determine if a set of ordered pairs represents a function, check if any x-value is repeated with different y-values. If no x-value is repeated, it is a function.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

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

Back

A mapping is a function if each input (domain) is paired with exactly one output (range). No input can have multiple outputs.

Tags

CCSS.8.F.A.1

Front

Give an example of a function using ordered pairs.

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)}. Each x-value (1, 2, 3) has a unique y-value (2, 3, 4).

Tags

CCSS.8.F.A.1

Front

Give an example of a non-function using ordered pairs.

Back

An example of a non-function is the set of ordered pairs {(1, 2), (1, 3), (2, 4)}. The x-value 1 is associated with two different y-values (2 and 3).

Tags

CCSS.8.F.A.1

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

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

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values. For example, in the function {(1, 2), (2, 2), (3, 4)}, the y-value 2 corresponds to both x-values 1 and 2.

Tags

CCSS.8.F.A.1