Function/NOT a Function

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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 input is associated with more than 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 graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Example of a function: {(2,3), (3,4), (4,5)}. Is this a function?

Back

Yes, each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

Example of a relation: {(1,2), (1,3), (2,4)}. Is this a function?

Back

No, the input '1' has two outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If a graph passes the vertical line test, what can we conclude?

Back

We can conclude that the graph represents a function.

Front

What is an example of a function in real life?

Back

A function can be seen in a vending machine, where each button (input) gives one specific item (output).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1