Math problem

Question

 

Find the exponential function passing through (0,3) and (2,12).

Answer 1

Let y = A(B)^x

 

Since (0, 3) is on the graph, 3 = A(B)⁰

 

                                                  3 = A(1)     So, A = 3

 

y = 3(B)^x

 

Since (2, 12) is on the graph, 12 = 3(B)²

 

                                             4 = B²

 

                                                      2 = B

 

y = 3(2)^x