Answer:
B) Graph of an Absolute Value Function
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.
The given table in Option A) is not a function because there are two corresponding y-values for x = 3.
Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.
Option D is also not a function because the input value of 3 has two output values: -5 and 0.
Option B represents a function because each input value has exactly one corresponding output value. A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point. This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.
