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Algebra2Chapter6NotesName:_______________________________Period:_________

Assignment DueDate

6.1Assignment

6.2Assignment

6.3Assignment

6.4Assignment

6.5Assignment

6.6Assignment

6.7Assignment

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6-1KeyFeaturesOfExponentialFunctions

Example1.𝑓 𝑥 = 2! 2.𝑓 𝑥 = 3!

Example 3.𝑓 𝑥 = !

!

! 4.𝑓 𝑥 = !

!

!

Example 5.𝑓 𝑥 = 2!!! + 2 6.𝑓 𝑥 = 2!!! − 1

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Example 7.𝑓 𝑥 = 3 ∙ 2!!! − 2 8.𝑓 𝑥 = −2 ∙ 3!!! − 1

9.𝑓 𝑥 = !

!∙ 2!!! + 3 10.𝑓 𝑥 = 3 ∙ 2!!! − 2

Example 11.𝑓 𝑥 = 0.5!!! + 2 12.𝑓 𝑥 = 0.5!!! − 1

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Example

13.𝑓 𝑥 = 3 ∙ !!

!!!− 2 14.𝑓 𝑥 = −2 ∙ 0.75!!! − 1

15.𝑓 𝑥 = !!∙ !!

!!!+ 3 16.𝑓 𝑥 = 3 ∙ 0.2!!! − 2

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18.

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6-2ExponentialModelingEX1//RewritetheExponentialFunctiontoIdentifyaRate1.In2015,thepopulationofasmalltownwas8,000.Thepopulationisincreasingatarateof2.5%peryear.Rewriteanexponentialgrowthfunctiontofindthemonthlygrowthrate.TRYIT:2.Thepopulationinasmalltownisincreasingannuallyby1.8%.Whatisthequarterlyrateofpopulationincrease?EX2//UnderstandCompoundInterest3.Tamirainvests$5,000inanaccountthatpays4%annualinterest.Howmuchwilltherebeintheaccountafter3yearsiftheinterestifcompoundedannually,semi-annually,quarterly,andmonthly?TRYIT:4.

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EX3//UnderstandingContinuouslyCompoundedInterest5.

TRYIT:6.

EX4//FindContinuouslyCompoundedInterest7.

TRYIT:8.

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EX5//UseTwoPointstoFindanExponentialModel9.

TRYIT:10.

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6-3Logarithms1.

TRYIT:

2.

3.

TRYIT:4.

10

5.

TRYIT:6.

7.

TRYIT:8.

11

9.

TRYIT:10.

11.

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6-3LogarithmicFunctions

1.Graph

TRYIT:2. 3.

4. 5.TRYIT:

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6.Findtheinverse. 7.

8.TRYIT:9. 10.

𝑓 𝑥 = 5!!!

11. 𝑓 𝑥 = !!

!!! 12.𝑓 𝑥 = ln 𝑥 + 3 − 1 13. 𝑓 𝑥 = 4 𝑙𝑜𝑔! 𝑥 − 3 + 2

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6-5PropertiesofLogarithms

1.

TRYIT:

2.

3.

a. b.Condense TRYIT:4.

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TRYIT:5.

6.

Usingcommonlogarithms:Usingnaturallogarithms:TRYIT:7.

Expand:8. 9.

10. 11.

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Condense:12. 13.

14. 15.

16.

TRYIT:17.

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6-6ExponentialandLogarithmicEquations

1.Solve. 2.

TRYIT:3. 4.

5. 6.

7. 8.

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9.Solve. 10.

TRYIT:11. 12.

13. 14.

15. 16.

17. 18.

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TRYIT:19. 20.

21. 22.

23.

24.

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6-7GeometricSequencesandSeries1.

2.

TRYIT:3. 4.

5.

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TRYIT:6.7.8.9.TRYIT:10.11.

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12.13.TRYIT:14.15.