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

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is a mapping in mathematics?

Back

A mapping is a way to pair each element from one set with an element from another set.

Front

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

Back

Yes, because each x-value has only one corresponding y-value.

Front

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

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

What does it mean for a relation to be 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

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 y-value.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, 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 {(1,2), (1,3)}, where the x-value 1 is paired with two different y-values.