Does this graph show a function? Explain how you know.
2 answers:
Answer: A. No; the graph fails the vertical line test.
Step-by-step explanation:
As we can see that the vertical lines crosses the graph more than once , Hence it is not a function.
To check if given graph is a function or not , we draw random vertical lines on the graph, if the vertical lines crosses the graph only once then It is a function.
But if any vertical line crossed the graph more than once ,that is at more than one point, than it is not a function.
As we can see here that Vertical lines crosses the graph more than once, at more than one point ,
Hence it is not a function.
Answer:
Option A.
Step-by-step explanation:
Vertical line test : If the graph of a relation intersect any vertical line at most once, then the graph passe the vertical line test and we can say that the graph shows a function other wise it is not a function.
Draw a vertical line, which passes through the point (5,0), i.e.,x=5.
From the graph it is clear that the vertical line x=5 intersect the graph at two points. It means the graph fails the vertical line test.
Since the graph fails the vertical line test, therefore the graph does not show a function.
Hence, the correct option is A.
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