How do you find the domain of the function $$f(x) = \text{log}_b(x - 1)$$ ?

To find the domain, set the argument of the logarithm greater than zero: $$x - 1 > 0$$ , which gives $$x > 1$$ .

What is the vertical asymptote of the function $$f(x) = \text{log}_b(x)$$ ?

The vertical asymptote of the function $$f(x) = \text{log}_b(x)$$ is at x = 0.

What is the transformation represented by $$f(x) = \text{log}_b(x - h)$$ ?

The transformation represents a horizontal shift of the graph to the right by h units.

How do you find the range of the function $$f(x) = -\text{ln}(x - 2) + 3$$ ?

The range is all real numbers because the logarithmic function can take any real value, and the negative sign and vertical shift do not restrict the range.

What is the domain and range of the function $$f(x) = \text{log}_b(x)$$ ?

Domain: x > 0; Range: all real numbers.

What is the general shape of the graph of a logarithmic function?

The graph of a logarithmic function increases slowly and approaches the vertical asymptote at x = 0.

What happens to the graph of a logarithmic function as x approaches infinity?

As x approaches infinity, the value of the logarithmic function also approaches infinity, but at a decreasing rate.

What is the base of a logarithm?

The base of a logarithm, denoted as b in $$\text{log}_b(x)$$ , is the number that is raised to a power to obtain x.

How do you solve the equation $$\text{log}_b(x) = k$$ ?

To solve $$\text{log}_b(x) = k$$ , rewrite it in exponential form: $$x = b^k$$ .

What is the significance of the point (1,0) on the graph of a logarithmic function?

The point (1,0) is significant because it represents the value of the logarithm when the input is equal to the base raised to the power of 0.

Graphing Logarithmic Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Domain of a logarithmic function?

Back

2.

FLASHCARD QUESTION

Front

What is the Range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers, as logarithmic functions can take any real value as output.

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the relationship between logarithmic functions and exponential functions?

Back

Tags

CCSS.HSF.BF.B.5

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

Back

A negative sign reflects the graph of the logarithmic function across the x-axis.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

Back

The transformation represents a vertical shift of the graph by k units.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

17 questions

Westward Expansion Review

Flashcard

•

9th Grade

17 questions

Physics Flashcard

Flashcard

•

9th Grade

12 questions

Data Transmission

Flashcard

•

9th Grade

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

10 questions

Mastering Linear Equations

Flashcard

•

9th Grade

10 questions

ReactJS Flashcards

Flashcard

•

KG

9 questions

matematika kelas xi

Flashcard

•

11th Grade

18 questions

THE MERCHANT OF VENICE ACT 1

Flashcard

•

10th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Songs Challenge

Interactive video

•

6th - 10th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

10 questions

Exploring the Grinch's Christmas Heist

Interactive video

•

6th - 10th Grade

10 questions

Exploring Unique Holiday Traditions Worldwide

Interactive video

•

6th - 10th Grade