Question

Does this graph show a function? Explain how you know.

Answer 1

Option A.

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.

Answer 2

Answer: A. No; the graph fails the vertical line test.

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.