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Write a function that models the data.

Write a function that models the data.-example-1

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1 vote

Answer:


y = 5( {3}^(x) )

User Slikts
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The equation of tge function that models the data is f(x) = 5(3)ˣ

Writing a function that models the data.

From the question, we have the following parameters that can be used in our computation:

The graph

The function is an exponential function in its parent form

By definition, an exponential function in its parent form is represented as

f(x) = abˣ

Where

a is the function value when x = 0

Using the point (0, 5), we have

a = 5

So, we have

f(x) = 5bˣ

Using the point (1, 15), we have

5b¹ = 15

b = 3

So, we have

f(x) = 5(3)ˣ

Hence, the function is f(x) = 5(3)ˣ

User Sfisioza
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