How do you find the equation of an exponential function that passes through the points (1,2) and (3,32)?

1 Answer
May 13, 2018

y=4^x/2

Explanation:

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A general form of an exponential function would be:

y=ab^x

Let's plug in the coordinates:

2=ab^1, :. ab=2, :. a=2/b=2b^(-1)

32=a(b)^3

32=2b^(-1)b^3

32=2b^2

16=b^2

b=4, :. a=2/b=2/4=1/2

y=(1/2)4^x

y=4^x/2