What is the effect of changing the base of an exponential function?

Changing the base of an exponential function affects the rate of growth or decay. A larger base results in faster growth, while a smaller base (greater than 0 but less than 1) results in faster decay.

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

The constant 'a' represents the initial value of the function when $$x = 0$$ . It affects the vertical stretch or compression of the graph.

What is an example of an exponential growth function?

An example of an exponential growth function is $$f(x) = 2 \times 3^x$$ , where the base 3 indicates growth.

What is an example of an exponential decay function?

An example of an exponential decay function is $$f(x) = 5 \times (0.5)^x$$ , where the base 0.5 indicates decay.

How can you determine if a function is exponential from its graph?

A function is exponential if its graph shows a consistent curve that either rises or falls sharply, without any straight lines.

What is the relationship between the graph of an exponential function and its inverse?

The graph of an exponential function and its inverse (logarithmic function) are reflections of each other across the line $$y = x$$ .

What is the vertical intercept of an exponential function?

The vertical intercept of an exponential function is the point where the graph crosses the y-axis, which occurs at $$f(0) = a$$ .

What is the importance of understanding asymptotes in exponential functions?

Understanding asymptotes helps predict the behavior of the function as $$x$$ approaches infinity or negative infinity, providing insight into limits and end behavior.

Graphs of Exponential Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the horizontal asymptote of an exponential function?

Back

3.

FLASHCARD QUESTION

Front

What is the range of an exponential function?

Back

4.

FLASHCARD QUESTION

Front

What is the domain of an exponential function?

Back

5.

FLASHCARD QUESTION

Front

What does it mean for an exponential function to exhibit growth?

Back

6.

FLASHCARD QUESTION

Front

What does it mean for an exponential function to exhibit decay?

Back

7.

FLASHCARD QUESTION

Front

How do you identify the asymptote of an exponential function graphically?

Back

Access all questions and much more by creating a free account

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

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

7 questions

Places

Flashcard

•

KG - University

10 questions

Statistical Estimates & Hypothesis

Flashcard

•

9th - 12th Grade

7 questions

2025 S3/S4 CCKS Nutri in Humans Pt 2 Hormones

Flashcard

•

8th Grade - University

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

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

15 questions

Holiday Trivia!

Quiz

•

9th Grade