How do you determine the decay factor in exponential decay?

The decay factor is determined by the expression $$1 - r$$ , where 'r' is the decay rate expressed as a decimal.

What is the general form of an exponential function?

The general form of an exponential function is $$f(x) = ab^x$$ , where 'a' is the initial value, 'b' is the base (growth/decay factor), and 'x' is the exponent.

What is the significance of the base 'b' in an exponential function?

The base 'b' indicates the rate of growth or decay. If b > 1, the function represents growth; if 0

How do you find the value of 'd' when given an exponential function?

To find 'd' when given an exponential function, you can set the function equal to a specific value and solve for 'd'.

What is the equation for a virus spreading exponentially?

The equation for a virus spreading exponentially can be modeled as $$c(d) = c_0(1 + r)^d$$ , where 'c_0' is the initial number of cases, 'r' is the growth rate, and 'd' is the number of days.

What is the relationship between exponential functions and logarithms?

Exponential functions and logarithms are inverses of each other. The equation $$y = b^x$$ can be rewritten in logarithmic form as $$x = \text{log}_b(y)$$ .

How do you interpret the results of an exponential regression?

Exponential regression provides a model that best fits a set of data points, allowing predictions about future values based on the established growth or decay pattern.

12/06/24 Exponential Growth/Decay Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

2.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for percent increase?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for percent decrease?

Back

5.

FLASHCARD QUESTION

Front

What is the half-life in exponential decay?

Back

6.

FLASHCARD QUESTION

Front

What does the term 'initial value' refer to in exponential functions?

Back

The initial value is the starting amount or quantity before any growth or decay occurs, often represented by 'a' in the equations.

7.

FLASHCARD QUESTION

Front

How do you determine the growth factor in exponential growth?

Back

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