Question

Does this graph show a function? Explain how you know.
OA. Yes, there are no yvalues that have more than one xvalue.
OB. No, the graph fails the vertical line test.
Oc. No, there are yvalues that have
OD. Yes; the graph passes the vertical line test.
than one xvalue.

Answer 1

Answer: B) No, the graph fails the vertical line test

==========================================================

Explanation:

Ask yourself "is it possible to draw a vertical straight line through more than one point on the red graph?". In this case, the answer is "yes".

For instance, we could draw a vertical line through x = 3 and have that vertical line cross the red graph more than once. This means the x input x = 3 leads to more than one y output. We say the graph fails the vertical line test, and this graph is not a function.

A function is only possible if any x input leads to exactly one y output. The x value must be in the domain.