19.03.2023 - 17:50

How do you find the function from a table?

How do you find the function from a table?

Answers (1)
  • BusinkaKsu
    April 4, 2023 в 14:35

    To find the function from a table, you need to first identify the pattern or relationship between the input and output values. This is typically done by looking for a consistent change or difference between the input and output values.

    For example, consider the following table:

    Input (x)Output (y)
    13
    26
    39
    412

    From this table, we can see that the output value is always three \times the input value. So, we can write the function as:

    y = 3x

    In general, there are many different types of patterns or relationships that can be present in a table, such as linear, \quadratic, exponential, and trigonometric. Identifying the type of pattern is the key to finding the corresponding function.

    It is important to note that not all tables represent a function. A function requires that each input value maps to exactly one output value, and if there are any repeated input values with different output values, then it is not a function.

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