If x = 1, then y = 3^x = 3^1 = 3 If x = 2, then y = 3^x = 3^2 = 3*3 = 9 If x = 3, then y = 3^x = 3^3 = 3*3*3 = 27 If x = 4, then y = 3^x = 3^4 = 3*3*3*3 = 81 If x = 5, then y = 3^x = 3^5 = 3*3*3*3*3 = 243
We can see this a number of ways. One is to graph and notice the points steeply increase as x gets larger. So that implies an exponential growth behavior.
Also notice how jumping from 3 to 9 to 27 and so on has us multiplying by 3. This geometric sequence property further confirms we have an exponential rule.
