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1 September, 06:54

Tell whether this function is quadratic. { (10, 50), (11, 71), (12, 94), (13, 119), (14, 146) }.

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  1. 1 September, 06:55
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    When we have consecutive values, f (10), f (11), f (12), f (13), f (14), we can make a difference table to determine the degree of f as a polynomial. A quadratic will have a constant second difference:

    x 10 11 12 13 14

    f (x) 50 71 94 119 146

    1st diff 21 23 25 27

    2nd diff 2 2 2

    We got a constant second difference, so f is a polynomial of degree two.

    Answer: This function is quadratic
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