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31 January, 17:58

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

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  1. 31 January, 18:09
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    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 [;
  2. 31 January, 18:17
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    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.
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