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levacccp [35]
3 years ago
14

Write an exponential equation for the following graph. Will give brainiest if you answer

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

f(x) = 2(\frac{1}{2})^x

Step-by-step explanation:

Let the exponential function is,

f(x) = a(b)ˣ

Since, the given graph passes through two points (0, 2) and (1, 1)

For point (0, 2),

2 = a(b)⁰

2 = a

For point (1, 1),

1 = a(b)¹

ab = 1

2(b) = 1

b = \frac{1}{2}

Therefore, equation of the exponential function will be,

f(x) = 2(\frac{1}{2})^x

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