Write and Exponential Function y=ab^x whose graph passes through (4,4) and (1,0.5)

Answer 1

y =ab^x

4 = ab^4

1/2 = ab

8 = b^3

b = 2

1/2 =2a

a = 1/4

y = (1/4)(2^x) is the exponential equation through the given 2 points

check the answer, plug in the points

4 = (1/4)2^4 = (1/4)(16)=4

1/2 = (1/4)2^1 = 2/4 = 1/2