Functions vs. Non functions

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

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

Back

A relation is a function if each x-value (input) is paired with exactly one y-value (output).

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, the graph does not represent a function.

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that there are x-values that correspond to multiple y-values, indicating that the relation 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 is paired with only one y-value.

Front

What is an example of a non-function?

Back

A relation where an x-value is paired with two or more different y-values, such as the relation {(1, 2), (1, 3)}.

Front

What is the definition of a function?

Back

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

Front

What is the significance of the domain in a function?

Back

The domain defines the set of all possible input values (x-values) for the function.

Front

What is the significance of the range in a function?

Back

The range defines the set of all possible output values (y-values) that a function can produce.