Question

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. (3.3, 5.3), (–1.7, 5.3), (–4.7, 3.3), (–4.7, –2.7)

Answer 1

Domain: $\{3.3,-1.7,-4.7\}$

Range: $\{5.3,3.3,-2.7\}$

The relation is not a function.

Explanation:

The coordinates $(3.3,5.3), (-1.7,5.3), (-4.7,3.3), (-4.7,-2.7)$ are plotted in the graph. The image of the graph is attached below.

The domain of a relation is the set of all x-values for which the function is well defined. Thus, the domain are $\{3.3,-1.7,-4.7\}$

The range of a relation is the set of all y-values obtained by substituting the values for x in the function. Thus, the range are $\{5.3,3.3,-2.7\}$

The relation $(3.3,5.3), (-1.7,5.3), (-4.7,3.3), (-4.7,-2.7)$ is not a function since, -4.7 has two different y-values. By definition of function, the function cannot have two different y-values for the same x-value.