Question

a. how can an arrow diagram help to determine whether a relation is a function?
b. make an arrow diagram that describes the relation (3,39), (6,39), (9,78), (15,117).
d. if each input has one arrow that points to exactly one output, then the relation is a function. otherwise, the relation is not a function.
b. choose the correct answer below
view an example video get more help
clear all

Explanation:

a. An arrow diagram maps each input (domain value) to its output (range value). A relation is a function if every input has exactly one arrow pointing to an output (no input maps to more than one output).
b. The given relation is $(3,39), (6,39), (9,78), (15,117)$. Inputs (3, 6, 9, 15) go to outputs (39, 39, 78, 117) respectively, which matches option C's diagram.

Answer:

a. An arrow diagram helps by showing input-output mappings: if every input has only one corresponding output (one arrow per input), the relation is a function.
b. C. 3 → 39, 6 → 39, 9 → 78, 15 → 117 (the arrow diagram with inputs 3,6,9,15 pointing to outputs 39,39,78,117 respectively)