Question

An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and

b?
a=
b =

Answer 1

Answers:

a = 2

b = 3

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Step-by-step explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x