Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 2)(0,2) and (3, 686)(3,686).

Question

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 2)(0,2) and (3, 686)(3,686).

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Thu Hương 4 years 2021-07-17T15:56:03+00:00 1 Answers 41 views 0

Answers ( )

  1. RuslanHeatt
    0
    2021-07-17T15:57:34+00:00
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    y = a b^x

    find the values for a and b :

    1- you have the point (0,2)

    Substitute 0 for x and 2 for y

    2 = a * b ^0
    2= a * 1
    a= 2

    2- you have the point (3,686)

    Substitute 3 for x and 686 for y and 2 for a

    y = 2 b^x

    686 = 2 * b^3

    343 = b^3

    b = 7

    y = 2 * 7^x

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