Question

The horizontal line test is used to determine whether a function is _.

Answer 1

Mathwords: Horizontal Line Test. A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. Note: The function y = f(x) is a function if it passes the vertical line test.           thats the best i got [;

Answer 2

Answer:

The horizontal line test is used to determine whether a function is one-to-one.

Step-by-step explanation:

Consider the provided statement.

Horizontal line test: A function is said to be one-to-one if the horizontal line intersects a function's graph not more than once. Thus, the horizontal line test is useful to determine whether a function is one-to-one.

Also, the horizontal line test is useful to determine whether a provided function has an inverse or not.

A function is said to be one-to-one if each y value the function corresponds to exactly one x-value.

For example consider the figure 1.

The figure 1 fails the horizontal line test as the horizontal line cuts the function 2 times. thus the function is not one-to-one.

Now consider the figure 2.

The figure 2 pass the horizontal line test as the horizontal line cuts the function only one time. thus the function is one-to-one.

Hence, the complete statement is:

The horizontal line test is used to determine whether a function is one-to-one.