Pregunta
Of 2 ?
Uncheck the Integer Values box and use the b-slider to
graph a variety of exponential functions with different bases.
An exponential function of the form
which of the following?
Use the interactive figure to find your answer. Use the left and
right arrow keys to move along a slider as needed.
Click here to launch the interactive figure.
Choose the correct answer below.
A. An exponential decay function
B. An exponential growth function
Uncheck the Integer Values box and use the b-slider to
graph a variety of exponential functions with different bases.
An exponential function of the form
which of the following?
Use the interactive figure to find your answer. Use the left and
right arrow keys to move along a slider as needed.
Click here to launch the interactive figure.
Choose the correct answer below.
A. An exponential decay function
B. An exponential growth function
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The function
Solución
To determine the nature of the exponential function
-
Exponential Growth: This occurs when the base
is greater than 1. In this case, as increases, also increases rapidly. -
Exponential Decay: This occurs when the base
is between 0 and 1 (i.e., ). In this case, as increases, decreases towards 0.
Since you are considering the case where
A. An exponential decay function.
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When you set the base
In real-world terms, exponential decay is commonly observed in processes such as radioactive decay, where unstable atoms lose energy over time, diminishing in quantity. It is also evident in scenarios such as depreciation of cars or the cooling of hot objects - both illustrating how quantities can decrease exponentially depending on initial values and conditions.
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