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Does the function model exponential growth or decay?

g(x)=(7)/(3)*2^(x)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $g(x)=\frac{7}{3} \cdot 2^{x}$ $\newline$ Choose $1$ answer: $\newline$ (A) Growth $\newline$ (B) Decay

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Interpret the exponential function word problem

Full solution

Q. Does the function model exponential growth or decay?

\newline

g(x)=\frac{7}{3} \cdot 2^{x}

\newline

Choose

1

answer:

\newline

(A) Growth

\newline

(B) Decay

Base of Exponent: Step $1$ : To determine if the function represents exponential growth or decay, we need to look at the base of the exponent. In the function $g(x) = (\frac{7}{3})\cdot2^{x}$ , the base of the exponent is $2$ .
Exponential Growth or Decay: Step $2$ : If the base of the exponent is greater than $1$ , the function models exponential growth. If the base is between $0$ and $1$ , the function models exponential decay.
Function Analysis: Step $3$ : Since the base of the exponent in our function is $2$ , which is greater than $1$ , the function $g(x) = (\frac{7}{3})\cdot2^{x}$ models exponential growth.

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