Question

Consider the following statements:

Statement I: Every curve that is not a straight line is a non-linear function.

Statement II: A non-linear function must pass the vertical line test.

• A. Both the statements are correct.
• B. Only statement I is correct.
• C. None of the statements are correct.

Answer 1

The correct option is B Only statement I is correct.

Every curve that is not a straight line is not necessarily a function.
To be a function, it must pass the vertical line test.
For example, the plot of $x=y^2$ is as follow:
The curve is non-linear.
However, it fails the vertical line test.
Hence, it is not a function.

$\therefore$ Statement I is wrong, and Statement II is correct.