Question

Consider the function f(x)=1/3(6)^x.What is the value of the growth factor of the function

Answer 1

The value of the growth factor of the function is 6

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

• a is the initial amount (the value of f(x) at x = 0)
• b is the growth/decay factor
• If b > 1, then it is a growth factor
• If 0 < b < 1, then it is a decay factor

∵ The function is $f(x)=\frac{1}{3}(6)^{x}$

- Compare it with the form above

∴ a = $\frac{1}{3}$

∴ The initial value is $\frac{1}{3}$

∴ b = 6

∵ 6 is greater than 1

∴ b is a growth factor

∴ The growth factor is 6

The value of the growth factor of the function is 6

Learn more:

You can learn more about the logarithmic function in brainly.com/question/11921476

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