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777dan777 [17]
2 years ago
8

(1,-2) and (2,-4) exponential formula f(x)=ab^x

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

We conclude that the exponential function is:

f(x) = -1*(2)ˣ

<h3>How to find the exponential function?</h3>

Here we know that we have an exponential function of the form:

f(x) = a*b^x

And we know two points on the function, that are:

f(1) = -2 = a*b^1 = a*b\\\\f(2) = -4 = a*b^2

Then we have a system of equations to solve, which is:

-2 = a*b\\-4 = a*b^2

From the first equation we can solve:

-2/a = b

Replacing that in the other equation we can get:

-4 = a*(-2/a)^2 = 4/a\\\\a = 4/-4 = -1

Now that we know the value of a, we can get the value of b:

-2/a = b\\\\-2/-1 = 2 = b

In this way, we conclude that the exponential function is:

f(x) = -1*(2)^x

If you want to learn more about exponential functions:

brainly.com/question/11464095

#SPJ1

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