What does the equation $$f(x) = 0.25(1.3)^x$$ represent?

This represents exponential growth because the base (1.3) is greater than 1.

What is the general form of an exponential decay function?

The general form of an exponential decay function is $$f(x) = a \times b^x$$ where $$0

What is the value of $$f(0)$$ in the function $$f(x) = 3(2)^x$$ ?

The value of $$f(0) = 3(2)^0 = 3$$ .

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

The initial value refers to the value of the function when $$x = 0$$ , which is represented by the constant $$a$$ in the function $$f(x) = a \times b^x$$ .

How does changing the base of an exponential function affect its graph?

Changing the base affects the rate of growth or decay. A larger base results in a steeper growth curve, while a smaller base (greater than 1) results in a gentler curve.

What is the significance of the constant 'a' in the function $$f(x) = a \times b^x$$ ?

The constant 'a' represents the initial amount or starting value of the function when $$x = 0$$ .

What is the domain of an exponential function?

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

What is the range of an exponential growth function?

The range of an exponential growth function is all positive real numbers, represented as $$(0, \text{∞})$$ .

Exponential Functions Recap Flashcards

Student preview

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

The base of an exponential function indicates the growth or decay factor. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

Back

There were 3 ants.

Tags

CCSS.HSF.LE.B.5

4.

FLASHCARD QUESTION

Front

Which equation represents exponential growth?

Back

Tags

CCSS.HSF-LE.A.1A

5.

FLASHCARD QUESTION

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base of the function is greater than 1, leading to an increase in value. Exponential decay occurs when the base is between 0 and 1, leading to a decrease in value.

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

Back

This is an example of exponential decay.

Tags

CCSS.HSF-IF.C.8B

7.

FLASHCARD QUESTION

Front

How can you determine if a function is exhibiting exponential growth?

Back

You can determine exponential growth by checking if the base of the function is greater than 1.

Tags

CCSS.HSF-IF.C.8B

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