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).

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

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

Is the relation {(2,3), (2,4), (3,5)} a function?

Back

No, because the x-value 2 is paired with two different y-values (3 and 4).

Front

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

Back

Yes, because each x-value has exactly one y-value.

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.

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 x-value 1 has two different y-values.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.