Ways of Describing Functions

  1. By creating a mapping diagram of the function. The mapping diagram is a sketch of two sets, the domain and the range, in the form of "bubbles".

    Each of the bubbles contains the respective elements of the domain and the range, and arrows are drawn from the elements of the domain into the elements of the range. These arrows represent the points/pairs contained in the function.

    Like the table method, the mapping diagram method can't be used to list a large number of pairs due to space limitations.

    The $\LaTeX$ code for the creation of the diagram on this slide is listed on the next slide.
    The mapping diagram for the square function.

    The mapping diagram for $f(x) = x^2$. Miriam Briskman, CC BY-NC 4.0