What is the equivalent expression for $$x^{12}$$ ?

The equivalent expression for $$x^{12}$$ can be found using the properties of exponents, such as $$\frac{x^4}{x^{-8}}$$ .

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

The base in an exponential function determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

How do you simplify $$\frac{1}{x^{10}}$$ ?

$$\frac{1}{x^{10}}$$ can be simplified to $$x^{-10}$$ or expressed as $$(x^{-2})^5$$ .

What is the formula for calculating the size of an object that doubles in size every week?

The formula is $$y = a(2^t)$$ , where $$a$$ is the initial size and $$t$$ is the number of weeks.

What is the relationship between exponential functions and logarithms?

Exponential functions and logarithms are inverse functions. If $$y = b^x$$ , then $$x = \text{log}_b(y)$$ .

How do you find the value of an exponential function at a given point?

To find the value of an exponential function at a given point, substitute the value of $$x$$ into the function and calculate $$f(x)$$ .

What is the general form of an exponential decay function?

The general form of an exponential decay function is $$y = a e^{-kt}$$ , where $$a$$ is the initial amount, $$k$$ is the decay constant, and $$t$$ is time.

How do you express a percentage as a fraction?

To express a percentage as a fraction, place the percentage over 100 and simplify. For example, 6.75% becomes $$\frac{675}{10000}$$ .

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) results in slower growth.

Modeling & Analyzing Exponential Functions 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 convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 6.75% becomes 0.0675.

3.

FLASHCARD QUESTION

Front

What is the formula for exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

What does it mean for a quantity to double?

Back

Tags

CCSS.HSF-LE.A.1A

5.

FLASHCARD QUESTION

Front

How do you express a quantity that decreases by a certain percentage each year?

Back

Tags

CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

How do you write an expression for exponential growth?

Back

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

9 questions

matematika kelas xi

Flashcard

•

11th Grade

15 questions

5.4 Costs Flashcards

Flashcard

•

12th Grade

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

11 questions

Identify Parts of an Algebraic Expression and Evaluate

Flashcard

•

9th Grade

16 questions

Hand Rules

Flashcard

•

12th Grade

7 questions

Places

Flashcard

•

KG - University

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

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

$fractions$

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

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade