Does the function model exponential growth or decay? h(x)=(3)/(4)*((1)/(6))^(x) Choose 1 answer: (A) Growth (B) Decay

Identify base: Step 1: Identify the base of the exponential function. In the function h(x) = (3/4) * (1/6)^x, the base of the exponential term is (1/6). Determine growth or decay: Step 2: Determine if the base is greater than 1 or less than 1. If the base is greater than 1, the function models exponential growth. If the base is less than 1, the function models exponential decay. Since (1/6) is less than 1, the function models exponential decay. Choose correct answer: Step 3: Choose the correct answer based on the analysis in Step 2. Since the base (1/6) is less than 1, the function h(x) = (3/4) * (1/6)^x represents exponential decay.

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Does the function model exponential growth or decay?

h(x)=(3)/(4)*((1)/(6))^(x)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $h(x)=\frac{3}{4} \cdot\left(\frac{1}{6}\right)^{x}$ $\newline$ Choose $1$ answer: $\newline$ (A) Growth $\newline$ (B) Decay

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Algebra 2

Interpret the exponential function word problem

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Q. Does the function model exponential growth or decay?

\newline

h(x)=\frac{3}{4} \cdot\left(\frac{1}{6}\right)^{x}

\newline

Choose

1

answer:

\newline

(A) Growth

\newline

(B) Decay

Identify base: Step $1$ : Identify the base of the exponential function. In the function $h(x) = \frac{3}{4} \times \left(\frac{1}{6}\right)^x$ , the base of the exponential term is $\frac{1}{6}$ .
Determine growth or decay: Step $2$ : Determine if the base is greater than $1$ or less than $1$ . If the base is greater than $1$ , the function models exponential growth. If the base is less than $1$ , the function models exponential decay. Since $(1/6)$ is less than $1$ , the function models exponential decay.
Choose correct answer: Step $3$ : Choose the correct answer based on the analysis in Step $2$ . Since the base $(\frac{1}{6})$ is less than $1$ , the function $h(x) = (\frac{3}{4}) \cdot (\frac{1}{6})^x$ represents exponential decay.