Find the equation of the exponential function represented by the table below:

Question

xx yy
00 11
11 44
22 1616
33 6464

Answer 1

To find the equation of the exponential function represented by the table, we look for a pattern in the y-values as the x-values increase.

For each increase in x by 1, the y-value appears to be multiplied by 4.

We can write this pattern as follows:

y = 11 * (4^x)

Therefore, the equation of the exponential function represented by the table is y = 11 * (4^x).