Is it 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

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 has two different y-values.

Front

How can you tell if a mapping is a function?

Back

You can tell if a mapping is a function by checking if each input (x-value) corresponds to exactly one output (y-value).

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 y-value, confirming it is a function.

Front

What is a mapping?

Back

A mapping is a relationship between two sets, where each element from the first set (domain) is paired with an element from the second set (range).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.