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Tatiana [17]
4 years ago
12

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
Yakvenalex [24]4 years ago
8 0

Answer:

y = 2(2)^{x}

Step-by-step explanation:

For the exponential function in the form

y = a(b)^{x}

Use the ordered pairs from the table to find a and b

Using (0, 2 ) , then

2 = ab^{0} ( b^{0} = 1 ) , thus

a = 2 , so

y = 2b^{x}

Using (1, 4 ) , then

4 = 2b ( divide both sides by 2 ) , then

b = 2

Thus exponential function is

y = 2(2)^{x}

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