Is it a Function?

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a table represents 'not a function'?

Back

It means that at least one x-value in the table is associated with multiple y-values.

Front

What is an example of a function using ordered pairs?

Back

(2, 3), (4, 5), (6, 7) is a function because each x-value is unique.

Front

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

Back

(1, 2), (1, 3) is not a function because the x-value 1 is paired with two 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 connected to its output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

Front

What is the significance of the x-value in a function?

Back

The x-value (input) determines the corresponding y-value (output) in 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 is unique.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each x-value corresponds to a unique y-value and vice versa.