Question

Does the table represent an exponential function?

Answer 1

Yes this is an exponential function. One way we can determine this is to notice how each y term is multiplied by 6 to get the next y term

example: -2 times 6 = -12

another example: -12 times 6 = -72

The exponential function that models this data is y = -2*6^(x-1). Note how plugging in  x = 1 leads to y = -2. Plugging in  x = 2 leads to y = -12, and so on.