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andreev551 [17]
3 years ago
5

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a(b)^{x}

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = ab^{0} [ b^{0} = 1 ] , so

a = 3

y = 3(b)^{x}

Using (1, 12 ) , then

12 = 3b^{1} = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3(4)^{x} → A

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