Identifying Functions

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 identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no x-value is repeated with different y-values.

Front

What does it mean if a relation is 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

Which of the following is a function? {(2,3), (3,4), (2,5)}

Back

Not a function, because the x-value 2 has two different y-values (3 and 5).

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

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) = 2x + 3, where each input x gives a unique output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

If a relation has the pairs {(1,2), (2,3), (3,4)}, is it a function?

Back

Yes, it is a function because each x-value is paired with exactly one y-value.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where x is the first element and y is the second element.