Function or not

Front

What is a function?

Back

A function is a relation where each input has 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 graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Tags

CCSS.8.F.A.1

Front

Is the set of points (1,2), (2,3), (3,4) a function?

Back

Yes, because each input (x-value) has a unique output (y-value).

Tags

CCSS.8.F.A.1

Front

Is the set of points (1,2), (1,3), (2,4) a function?

Back

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

Tags

CCSS.8.F.A.1

Front

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

Back

A graph is a function if every x-value has only one corresponding y-value.

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 each input x gives a unique output.

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

An example of a non-function is y^2 = x, where a single x-value can correspond to multiple y-values.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input.