Find the equation of the exponential function represented by the table below:xx yy00 2211 6622 181833 5454
Question
Find the equation of the exponential function represented by the table below:xx yy00 2211 6622 181833 5454
Solution
The given table represents an exponential function of the form y = ab^x.
The table is as follows:
| x | y |
|---|---|
| 0 | 22 |
| 1 | 66 |
| 2 | 198 |
| 3 | 594 |
| 4 | 1782 |
From the table, we can see that each time x increases by 1, y is multiplied by 3. This means that the base (b) of our exponential function is 3.
When x = 0, y = 22. This is the initial value of the function, which is the coefficient (a) in our exponential function.
So, the equation of the exponential function represented by the table is y = 22 * 3^x.
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