Function or Not

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the definition of input in a function?

Back

An input is a value that is fed into a function, typically represented as 'x'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of output in a function?

Back

An output is the result produced by a function for a given input, typically represented as 'y'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

A relation is a function if each input is associated with 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, but each input must have only 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

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

Back

Yes, this mapping is a function because each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

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

Back

No, this mapping is not a function because the input '1' has two different outputs (2 and 3).

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 gives 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 the set of points {(1,2), (1,3)}, where the input '1' has two outputs.

Tags

CCSS.8.F.A.1