Function or Not

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

Back

Yes, because each input has a unique output.

Tags

CCSS.8.F.A.1

Front

Is the set {(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 if a graph is not a function?

Back

It means that at least one input corresponds to more than one output.

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 x-value has a unique y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1, 2), (1, 3)}, where the input '1' has two outputs.

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

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.