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 used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

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 is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

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

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relation that pairs each element from one set (domain) with an element from another set (range).

Front

What does it mean for a graph to pass the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What is the significance of the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one, meaning each y-value is paired with only one x-value.

Front

What is a one-to-one function?

Back

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