Question

Does this graph represent a function? Why or why not?

A.
Yes, because it has two straight lines.

B.
No, because it fails the vertical line test.

C.
Yes, because it passes the vertical line test.

D.
No, because it is not a straight line.

Answer 1

B.

No, because it fails the vertical line test.

Explanation:

The vertical line test says if a vertical line passes through two points of the relation, it is not a function. A vertical line will pass through 2 points on this graph, so it is not a function

Answer 2

B

Step-by-step explanation

No because it fails the vertical line test. Anytime a choice contains the phrase vertical line test, you give that phrase first consideration. In this case all x values have two y values, and that is the definition of failing the vertical line test.

The answer is B

A: See the explanation for B

C: See the explanation for B. The vertical line test fails.

D: If the two lines meet at an angle greater than 90 degrees and the base line is horizontal then the "function" would pass the vertical line test. The segments do not have to be straight. B is still the answer however.