Find the equation of the exponential function represented by the table below:xx yy00 0, point, 0, 20.0211 0, point, 0, 40.0422 0, point, 0, 80.0833 0, point, 1, 60.16
Question
Find the equation of the exponential function represented by the table below:xx yy00 0, point, 0, 20.0211 0, point, 0, 40.0422 0, point, 0, 80.0833 0, point, 1, 60.16
Solution
The table seems to represent an exponential function of the form y = ab^x.
Given the points (0, 0.02), (1, 0.04), (2, 0.08), (3, 0.16), we can see that the y-value doubles as x increases by 1. This suggests that the base of the exponential function (b) is 2.
The y-intercept of the function (when x = 0) is 0.02, which is the value of a.
So, the equation of the exponential function represented by the table is y = 0.02 * 2^x.
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