What is the difference between exponential growth and exponential decay?

Exponential growth occurs when the base $$b > 1$$ , leading to increasing values as $$x$$ increases. Exponential decay occurs when $$0

How do you write an exponential function given a specific point and the y-intercept?

Use the y-intercept to find $$a$$ and the specific point to find $$b$$ by substituting the values into the equation $$f(x) = a \times b^x$$ .

What is the formula to convert a table of values into an exponential function?

Use the form $$f(x) = a \times b^x$$ and solve for $$a$$ and $$b$$ using two points from the table.

What is the role of the constant $$a$$ in an exponential function?

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

How can you verify if a function is exponential using a table?

Check if the ratio of the outputs for equal increments in the inputs remains constant.

What is an example of an exponential function?

An example is $$f(x) = 3 \times 2^x$$ , which represents exponential growth.

How do you graph an exponential function?

Plot the y-intercept, then use the growth/decay factor to find additional points by calculating $$f(x)$$ for various values of $$x$$ .

What is the importance of understanding exponential functions in real life?

Exponential functions model real-world phenomena such as population growth, radioactive decay, and interest calculations.

Writing Exponential Functions from Tables & Graphs Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

How do you identify an exponential function from a table of values?

Back

Look for a pattern where the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) increase by the same amount.

Tags

CCSS.HSF-LE.A.1A

3.

FLASHCARD QUESTION

Front

What does the base of an exponential function represent?

Back

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

5.

FLASHCARD QUESTION

Front

How can you determine the equation of an exponential function from a graph?

Back

Tags

CCSS.HSF.LE.A.2

6.

FLASHCARD QUESTION

Front

What is the significance of the y-intercept in an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

How do you find the growth factor in an exponential function?

Back

The growth factor can be found by dividing the output of the function at one point by the output at a previous point, given that the inputs differ by the same amount.

Tags

CCSS.HSF-IF.C.8B

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

Organelles

Flashcard

•

6th - 8th Grade

15 questions

Solving Linear Equations

Flashcard

•

8th Grade

10 questions

Newton's Third Law

Flashcard

•

7th - 11th Grade

15 questions

8.1 OpenSciEd Flashcard

Flashcard

•

8th Grade

15 questions

Final Test

Flashcard

•

8th Grade

15 questions

Solving One Step Equations with Addition or Subtraction

Flashcard

•

6th - 7th Grade

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

11 questions

Linear Equations Review

Flashcard

•

8th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

22 questions

distributive property

Quiz

•

7th Grade

18 questions

Angle Relationships

Quiz

•

7th Grade

20 questions

How Some Friendships Last — and Others Don’t Video Questions

Quiz

•

7th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

18 questions

Handbook Refresher Quiz

Quiz

•

7th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

12 questions

8th U5L9 Linear Models

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade