Identifying Functions

Front

What is a function?

Back

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

Front

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

Back

A relation is a function if no two ordered pairs have the same first element (x value) with different second elements (y values).

Front

Identify the function: {(1,2), (2,3), (1,4)} or {(1,2), (2,3), (3,4)}

Back

{(1,2), (2,3), (3,4)} is a function because each x value is unique.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Which of the following is a function? {(1,2), (1,3)} or {(2,3), (3,4)}

Back

{(2,3), (3,4)} is a function because each x value is unique.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

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 unique.

Front

Example of a function: {(1,2), (2,2), (3,2)} or {(1,2), (1,3), (2,2)}

Back

{(1,2), (2,2), (3,2)} is a function because each x value is unique.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between x values and y values, showing how each x is paired with a y.

Front

What does it mean if a set of points is not a function?

Back

If a set of points is not a function, it means at least one x value is paired with more than one y value.