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

Base of Exponent: Step 1: To determine if the function represents growth or decay, we need to look at the base of the exponent. In the function f(t)=(1)/(4)*4^(t), the base of the exponent is 4. 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. Exponential Growth Determination: Step 3: Since the base of the exponent in our function is 4, which is greater than 1, the function models exponential growth. Coefficient Impact: Step 4: The coefficient (1/4) in front of the exponential function does not affect whether the function is growth or decay; it only affects the scale of the function.

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Does the function model exponential growth or decay?

f(t)=(1)/(4)*4^(t)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay? $\newline$ $f(t)=\frac{1}{4} \cdot 4^{t}$ $\newline$ 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

f(t)=\frac{1}{4} \cdot 4^{t}

\newline

Choose

1

answer:

\newline

(A) Growth

\newline

(B) Decay

Base of Exponent: Step $1$ : To determine if the function represents growth or decay, we need to look at the base of the exponent. In the function $f(t)=\frac{1}{4}\cdot4^{t}$ , the base of the exponent is $4$ .
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.
Exponential Growth Determination: Step $3$ : Since the base of the exponent in our function is $4$ , which is greater than $1$ , the function models exponential growth.
Coefficient Impact: Step $4$ : The coefficient $\frac{1}{4}$ in front of the exponential function does not affect whether the function is growth or decay; it only affects the scale of the function.