Question

Create a table, map, or graph of a function and a non-function (one type for each).

Answer 1

Here are two different representations (one type each): a table that is a function, and a mapping diagram (map) that is not a function.

1) Table (function)
x | f(x)
--|-----
-1 | 1
0 | 0
1 | 1
2 | 4

Explanation: each input x appears exactly once in the left column and has a single output in the right column, so this relation is a function.

2) Mapping diagram (non-function)
Domain: {a, b, c}
Codomain: {1, 2, 3}

Arrows (relation):
a → 1
a → 2
b → 3
c → 2

As ordered pairs: {(a,1), (a,2), (b,3), (c,2)}

Explanation: element a maps to two different outputs (1 and 2). Because at least one input corresponds to more than one output, this relation is not a function.