Question

Hich of the following statements is true about functions and relations?

a. The vertical line test will not work for piece-wise defined relations.
b. No piece-wise relations can be functions.
c. The vertical line test must only cross the curve one place for each x value for a function.
d. The vertical line test can cross the curve at more than one place for each x value for a function.

Answer 1

The vertical line test must only cross the curve one place for each x value for a function.

Step-by-step explanation:

The correct statement about functions and relations is:
c. The vertical line test must only cross the curve one place for each x value for a function.

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point for any given x value, then the graph is not a function. Therefore, the vertical line test must only cross the curve one place for each x value for a function to be true.