Question

Determine which of the mapping diagrams represents a relation that is not a function.

A. A mapping diagram with negative 5 pointing to negative 4 and 3; negative 1 pointing to 5; 7 pointing to 8.
B. A mapping diagram with negative 4 pointing to negative 5; 3 pointing to negative 5; 5 pointing to negative 1; 8 pointing to 7.
C. A mapping diagram with negative 4 pointing to negative 9; 3 pointing to negative 5; 5 pointing to negative 1; 8 pointing to 7.
D. A mapping diagram with negative 5 pointing to negative 1; negative 1 pointing to negative 1; 7 pointing to negative 1.

Answer 1

The mapping diagram that represents a relation that is not a function is the option A mapping diagram;

A. A mapping diagram with negative 6 pointing to negative 4 and 3; negative 1 pointing to 5; 7 pointing to 8

Explanation:

The mapping diagrams of the given relations are presented using Microsoft Visio as seen in the attached drawings

From the given options, in option A, -5 is paired with both 4 and 3, therefore, giving an input or domain value, -5, that has two outputs in the range which are 4 and 3, therefore, the relationship between the left and right cells in option A is not a function because it is not defined as one input can have several outputs