What is exponential growth?

Exponential growth occurs when a quantity increases by a consistent percentage over time, represented by the function $$f(x) = a \times b^x$$ where $$b > 1$$ .

What is exponential decay?

Exponential decay occurs when a quantity decreases by a consistent percentage over time, represented by the function $$f(x) = a \times b^x$$ where $$0

What is the relationship between exponential and logarithmic functions?

Exponential and logarithmic functions are inverses of each other. If $$y = b^x$$ , then $$x = \text{log}_b(y)$$ .

How do you graph an exponential function?

To graph an exponential function, plot points for various values of $$x$$ , noting that the graph approaches the x-axis but never touches it (asymptote).

What is the domain of a logarithmic function?

The domain of a logarithmic function $$f(x) = \text{log}_b(x)$$ is $$x > 0$$ .

What is the range of an exponential function?

The range of an exponential function $$f(x) = a \times b^x$$ is all real numbers if $$a > 0$$ .

What is the y-intercept of an exponential function?

The y-intercept of an exponential function $$f(x) = a \times b^x$$ is $$f(0) = a$$ .

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

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Practice: Exponential and Logarithmic Graphs 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 a logarithmic function?

Back

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the inverse of an exponential function?

Back

Tags

CCSS.HSF-BF.B.4A

4.

FLASHCARD QUESTION

Front

How do you find the inverse of a function?

Back

Tags

CCSS.HSF-BF.B.4A

5.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

6.

FLASHCARD QUESTION

Front

What does it mean for a function to be increasing?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be decreasing?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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