The exponential function represented by the table can be written in the form y=ab^x. find the values for a and b.
20 points!

Y=ab^x so we can pick any two points, I'll use (1,2) and (2,1)

1/2=(ab^2)/(ab^1)

1/2=b, and then we can use any point to solve for a, I'll use (4, 1/4)

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

1/4=a/16

a=4 so our equation is:

y=4(1/2)^x

Thus a=4 and b=1/2