What does the end behavior of an exponential function describe?

The end behavior of an exponential function describes how the function behaves as $$x$$ approaches positive or negative infinity.

What is the end behavior of the function $$f(x) = a \times b^x$$ as @@x → - ext{∞}@@?

As @@x → - ext{∞} $$, the function approaches 0, i.e., $$ f(x) → 0@@.

What is the end behavior of the function $$f(x) = a \times b^x$$ as $$x → \text{∞}$$ ?

As $$x → \text{∞}$$ , the function approaches infinity, i.e., $$f(x) → \text{∞}$$ .

How do you write an exponential equation from a table of values?

To write an exponential equation from a table, identify the initial value and the growth/decay factor, then use the form $$y = a \times b^x$$ .

What is the significance of the initial value in an exponential function?

The initial value in an exponential function represents the starting amount before any growth or decay occurs.

What is the difference between exponential growth and exponential decay?

Exponential growth occurs when the base of the function is greater than 1, while exponential decay occurs when the base is between 0 and 1.

How can you determine the growth or decay factor from an exponential equation?

The growth or decay factor can be determined from the base of the exponential equation. For example, in $$y = a \times b^x$$ , $$b$$ is the growth/decay factor.

What is the formula for calculating the amount after a certain time in exponential growth?

The formula for calculating the amount after time $$t$$ in exponential growth is $$A = P(1 + r)^t$$ , where $$P$$ is the initial amount and $$r$$ is the growth rate.

Exponential Graphs and Tables Practice Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does the base of an exponential function indicate?

Back

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

How do you identify the rate of growth in an exponential model?

Back

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

How do you identify the rate of decay in an exponential model?

Back

Tags

CCSS.HSF-IF.C.8B

5.

FLASHCARD QUESTION

Front

What is the general form of an exponential decay function?

Back

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as @@D: (- ext{∞}, ext{∞})@@.

7.

FLASHCARD QUESTION

Front

What is the range of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

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