What is the formula for exponential decay?

The formula for exponential decay is $$f(t) = A_0 e^{-kt}$$ , where $$A_0$$ is the initial amount, $$k$$ is the decay constant, and $$t$$ is time.

What is the y-intercept in a linear function?

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of $$b$$ in the equation $$f(x) = mx + b$$ .

What is the base of an exponential function?

The base of an exponential function is the constant $$b$$ in the function $$f(x) = a \times b^x$$ , which determines the rate of growth or decay.

A function is a relation that assigns exactly one output for each input from its domain.

What is the domain of a function?

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

What is the range of a function?

The range of a function is the set of all possible output values (y-values) that the function can produce.

What is a graph of a function?

A graph of a function is a visual representation of the relationship between the input values and the output values, typically plotted on a coordinate plane.

What is the significance of the slope in a linear function?

The slope indicates the rate of change of the function; it shows how much the output value changes for a unit change in the input value.

What is the difference between a discrete and continuous function?

A discrete function consists of distinct, separate values, while a continuous function has an unbroken range of values.

AMDM 9.1-9.2 REVIEW Flashcards

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16 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

2.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

3.

FLASHCARD QUESTION

Front

What is the constant of proportionality?

Back

4.

FLASHCARD QUESTION

Front

What is logistic growth?

Back

5.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

Exponential growth refers to an increase that occurs at a rate proportional to the current value, resulting in rapid growth over time.

6.

FLASHCARD QUESTION

Front

What does the variable 't' represent in the formula A = P(1 + r)^t?

Back

't' represents the time period for which the investment is made or the growth is calculated.

7.

FLASHCARD QUESTION

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage over equal intervals.

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