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9 April, 16:31

3. Consider the functions f (x) = x2 + 10x - 5, g (x) = 8x + 1, and h (x) = 3x - 4. List the functions from least to greatest value when x = 3 and when x = 6. Then tell how you would explain to someone that you do not need to do any calculations to know the order of the functions when x = 15.

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  1. 9 April, 17:00
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    x = 3

    f (x) = x² + 10x - 5

    f (3) = (3) ² + 10 (3) - 5

    f (3) = 9 + 30 - 5

    f (3) = 39 - 5

    f (3) = 34

    g (x) = 8x + 1

    g (3) = 8 (3) + 1

    g (3) = 25

    h (x) = 3x - 4

    h (3) = 3 (3) - 4

    h (3) = 9 - 4

    h (3) = 5

    x = 6

    f (x) = x² + 10x - 5

    f (6) = (6) ² + 10 (6) - 5

    f (6) = 36 + 60 - 5

    f (6) = 96 - 5

    f (6) = 91

    g (x) = 8x + 1

    g (6) = 8 (6) + 1

    g (6) = 48 + 1

    g (6) = 49

    h (x) = 3x - 4

    h (6) = 3 (6) - 4

    h (6) = 18 - 4

    h (6) = 14

    I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f (x) is equal to 370, g (x) is equal to 121, and h (x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
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