Question

Consider the following statements:

Statement I: Any graph that passes the vertical line test is a linear function.

Statement II: All straight lines are linear functions.

• A. Both statements are correct.
• B. Only one statement is correct.
• C. Both statements are wrong.

Answer 1

The correct option is C Both statements are wrong.

Any graph that passes the vertical line test is a function.
A non-linear graph may pass the vertical line test, but it is non-linear in nature.

For example, the following graph passes the vertical line test, but it is non-linear in nature.

Hence, statement I is not valid for all cases.

All straight lines are linear graphs, but they may not be a function.

For example, the following graph is linear in nature, but it fails the vertical line test.

Hence, statement II is also not valid for all cases.