Write an exponential function in the form y=ab^x that goes through points (0, 13) and (3, 832)

Question

Write an exponential function in the form y=ab^x what goes through points (0, 13)(0,13) and (3, 832)(3,832). please help me with this math problem. thank you so much. so i don't know how to fins the common factor.

Answer 1

f(x) = ab^x

13 = ab⁰

13 = a

832 = 13b³

64 = b³

4 = b

f(x) = 13(b^x)

Answer 2

If Y = ab^X then if you substitute Y = 13 and X = 0, you get 13 = ab⁰ or 13 = a.

Next substitute Y = 832 and X = 3 into the new equation Y = 13b³.

This gives b³ = 832/13 = 64. Take the cube root of 64 to get b = 4.

The final equation is Y =13 x 4^X.

I don't know what (0, 13)(0,13) and (3, 832)(3,832) means though.