look at this graph: graph of a coordinate plane with several points is this relation a function? yes no
look at this graph: graph of a coordinate plane with several points is this relation a function? yes no
Answer
Explanation:
Step1: Recall the definition of a function
A relation is a function if every input (x - value) has exactly one output (y - value). In other words, no two points in the relation can have the same x - coordinate with different y - coordinates. We can also 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.
Step2: Analyze the given graph
We look at the x - coordinates of each point in the graph. Let's identify the coordinates of the points (assuming each grid square is 1 unit). The points seem to have distinct x - coordinates. For example, if we check each x - value, there is no x - value that is repeated with a different y - value. When we apply the vertical line test, any vertical line will intersect the graph at most once because each x - value is associated with only one y - value.
Answer:
yes