Respuesta :

apologiabiology
exponential functions are written like this:
f(x)=abˣ

we are given
f(1)=3 and f(2)=9
so
f(1)=ab¹=3
f(2)=ab²=9

ab=3
ab²=9

divide them
[tex]\frac{ab^2}{ab}=b=\frac{9}{3}=3[/tex]
b=3

f(x)=a3ˣ
f(1)=a3¹=3
3a=3
a=1

te fnction is f(x)=1(3)ˣ

Answer: y = 3x

Step-by-step explanation: Substitute the two points into the equation y = abx, giving 3 = ab1 and 9 = ab2. Since a = a, then 3 b1 = 9 b2 , rearranged yields 3b2 = 9b1 → 3b2 − 9b = 0 → b(3b − 9) = 0 Thus, b = 0 or b = 3. A curve of exponential function never drop below the x-axis, ignore any values of b that are less than or equal to zero. Therefore, insert b = 3 into 3 b1 = a and 9 b2 = a → a = 1 for both equations. y = abx y = (1)(3x) y = 3x

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