What is the formula for exponential growth?

The formula for exponential growth is $$y = y_0 e^{rt}$$ , where $$y_0$$ is the initial amount, $$r$$ is the growth rate, and $$t$$ is time.

What is the difference between exponential growth and decay?

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when it decreases at a rate proportional to its current value.

How do you condense logarithmic expressions?

To condense logarithmic expressions, use the properties of logarithms, such as $$a \text{log}_b(c) = \text{log}_b(c^a)$$ .

What is the relationship between exponential and logarithmic functions?

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

What is the formula for the population growth model?

The population growth model can be expressed as $$P(t) = P_0 e^{rt}$$ , where $$P_0$$ is the initial population, $$r$$ is the growth rate, and $$t$$ is time.

How do you graph an exponential function?

To graph an exponential function, identify the y-intercept, determine the growth or decay rate, and plot points for various values of $$x$$ .

What is the significance of the number $$e$$ in exponential functions?

The number $$e$$ is the base of natural logarithms and is significant in calculus, particularly in growth and decay problems, as it represents continuous growth.

What is the change of base formula for logarithms?

The change of base formula states that $$\text{log}_b(a) = \frac{\text{log}_k(a)}{\text{log}_k(b)}$$ for any positive base $$k$$ .

Unit 6 Review: Exponential and Logarithmic 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 base of a logarithm?

Back

3.

FLASHCARD QUESTION

Front

How do you solve an exponential equation?

Back

To solve an exponential equation, you can take the logarithm of both sides or rewrite the equation in a form that allows you to isolate the variable.

4.

FLASHCARD QUESTION

Front

What is the inverse of an exponential function?

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

8 questions

Unit 3.7 Firm's costs, Revenue & Objective

Flashcard

•

11th Grade

11 questions

Review A2

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

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