What is an example of an exponential growth function?

An example of an exponential growth function is $$f(x) = 2^x$$ .

What is an example of an exponential decay function?

An example of an exponential decay function is $$f(x) = 3(1/2)^x$$ .

What is the asymptote of an exponential function?

The horizontal asymptote of an exponential function is the line $$y = 0$$ .

How do you identify an exponential function from a graph?

An exponential function graph shows a rapid increase or decrease and never touches the x-axis.

What is the difference between exponential growth and decay?

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

What variable represents the range in a function?

The variable that represents the range in a function is $$y$$ .

How do you find the y-intercept of an exponential function?

To find the y-intercept, evaluate the function at $$x = 0$$ .

What is the significance of the constant 'a' in an exponential function?

The constant 'a' represents the initial value or the y-intercept of the function.

Exponential functions 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 is the general form of an increasing exponential function?

Back

3.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

Front

What is the domain of an exponential function?

Back

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

5.

FLASHCARD QUESTION

Front

What is the range of an increasing exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What is the range of an exponential decay function?

Back

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

What does the base of an exponential function determine?

Back

Tags

CCSS.HSF-IF.C.8B

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