Write an exponential function in the form y=ab^x that goes through points (0, 7) and (2,567).

Question

Please write the answer in Y=ab^x Form. Thank you.

Answer 1

y=a(b)^x

7=a(b)^0 = a(1) = a

a = 7

y = b^x

567 =7b^2

b^2 = 567/7 = 81

b =+ or - sqr81

b = 9 or -9

y=7(9)^x or y = 7(-9)^x