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Leona [35]
2 years ago
7

4-13 writing exponential equations

Mathematics
1 answer:
balu736 [363]2 years ago
6 0

Answer:

y=2(\frac{1}{3})^x

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = \frac{1}{3}

Therefore, equation of the exponential function will be,

y=2(\frac{1}{3})^x

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