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timurjin [86]
3 years ago
6

Write an exponential function in the form

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:

y = 4(9)^{x}

Step-by-step explanation:

Using the given points to find a and b

Using (0, 4), then

4 = ab^{0} ⇒ a = 4, thus

y = 4b^{x}

Using (3, 2916), then

2916 = 4 b³ ( divide both sides by 4 )

729 = b³ ( take the cube root of both sides )

b = \sqrt[3]{729} = 9

Thus

y = 4 9^{x} ← is the exponential function

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