Write an exponential function 𝑦=𝑎𝑏𝑥for a graph that passes through (2,1) and (3,10).

Answer 1

y = ab^x
ab^2 = 1
ab^3 = 10
divide and you have b = 10
a*100=1

y = 1/100 * 10^x
or, though not in the form requested,
y = 10^(x-2)

it was kind of a cop-out to have a be a power of b.