Question

does the relation shown below define a function? yes no

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value). We can use the vertical line test: if any vertical line drawn through the graph intersects the graph at more than one point, then the relation is not a function. If every vertical line intersects the graph at most once, it is a function.

Step2: Analyze the graph

The graph shown is a horizontal line (y = - 6). For a horizontal line, any vertical line (which has the form x = a, where a is a real number) will intersect the horizontal line at exactly one point (the point (a, - 6)). So, the vertical line test is satisfied.

Answer:

Yes