Is it a 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).

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 crosses the graph at more than one point, it is not a function.

Front

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

Back

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

Front

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

Back

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

Front

What does it mean if a table has repeated x-values with different y-values?

Back

It means the relation is not a function because one input corresponds to multiple outputs.

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.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each input x gives a unique output.

Front

What is an example of a non-function?

Back

An example of a non-function is y = ±√x, where one input x can give two different outputs.

Front

How can you tell if a graph is not a function?

Back

If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is a mapping diagram?

Back

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