Example 3: Sketch a graph of f(x) = log3(x - 2) alongside the parent function.-10 -8 -6 -4 -2108642N-2+-4-6-8-10-2 4 6 8 10

Answered: Image /qna-images/answer/731fe3bd-4768-4a21-9dbd-4f8398844a35.jpg

Answered: Example 3: Sketch a graph of f(x) =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 10E

See similar textbooks

Similar questions

The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____.
Use log21=0,log22=1, and log24=2 to estimate log23.
The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____.
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
What type (s) of translation (s), if any, affect thedomain ofa logarithmic function?
Does the graph of a general logarithmic functionhave a horizontal asymptote? Explain.
DICUSS DISCOVER: The Number of Digits in an integer Compare log1000 to the number of digits in 1000. Do the same for 10,000. How many digits does any number between 1000and10, 000 have? Between what two values must the common logarithm of such a number lie? Use your observations to explain why the number of digits in any positive integer xislogx+1. The symbol n is the greatest integer function defined in Section 2.2. How many digits does the number 2100 have?
By finding the appropriate logarithmic or exponential form of the equation, as in Example 1.
Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.
The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Example 3: Sketch a graph of f(x) = log3(x − 2) alongside the parent function. -10 -8 -6 -4 -2 10 8 6 4 2 -2 -4 -6 -8 -10 2 4 6 8 10