The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.
1 answer:
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
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