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Unit 9 – Alg 2 1 Name:_________________________ Period:______ Unit 9: Parent Functions List of topics for this unit/Assignment tracker Date Topic Assignment & Due Date 9.1 Graph Square Root Functions 9.2 Graph Cube Root Functions Quiz 1 9.3 Graph Basic Exponential Functions 9.4 Graph () = ()* + when b > 1 9.5 Graph () = ()* + when 0 > b > 1 Quiz 2 9.6 Unit Review Test

Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Page 1: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

Unit9–Alg2

1

Name:_________________________

Period:______

Unit9:ParentFunctionsListoftopicsforthisunit/Assignmenttracker

Date Topic Assignment&DueDate 9.1 GraphSquareRootFunctions

9.2 GraphCubeRootFunctions

Quiz1

9.3 GraphBasicExponentialFunctions

9.4 Graph𝑓(𝑥) = 𝑎𝑏()* + 𝑘whenb>1

9.5 Graph𝑓(𝑥) = 𝑎𝑏()* + 𝑘when0>b>1

Quiz2

9.6 UnitReview

Test

Page 2: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.1GraphSquareRootFunctions Date:WARMUPEvaluateeach.Givetheexactanswerandapproximatetothenearesttenth.1. 36 2. 49 3. −18 4. 20TheSquareRootParentFunction

𝑓 𝑥 = 𝑥

Page 3: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Example 1.𝑓 𝑥 = 𝑥 − 2 − 3

YourTurn2.𝑓 𝑥 = 𝑥 + 1 − 2

𝑓(𝑥) = ±𝑎√𝑥 − ℎ + 𝑘 BasicTransformationsKey

Page 4: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Example3.𝑓 𝑥 = −3 𝑥 + 2 + 1

4.𝑓 𝑥 = 9

:𝑥 − 1 + 5

YourTurn5.𝑓 𝑥 = 2 𝑥 − 3

Page 5: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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6.𝑓 𝑥 = − 9<𝑥 + 3 − 4

Example7.

8.

YourTurn9.

Page 6: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.1GraphSquareRootFunctions AssignmentGrapheach.

Page 7: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.2GraphCubeRootFunctions Date:

WARMUPEvaluateeach.Giveanexactanswerandanapproximationtothenearesttenth.1. 273 2. −643 3. 163 4. −13 TheCubeRootParentFunction

Example

1.

Page 8: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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YourTurn

2.

Example

3.

4.

Page 9: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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YourTurn

5.

6.

7.

Page 10: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.2GraphCubeRootFunctions Assignment

Page 11: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.3GraphBasicExponentialFunctions Date:

WARMUPEvaluateeachforthegivenvalueofx.Giveanexactvalueandanapproximationtothenearesttenth.1.2(forx=3 2.2(forx=-3 3.(−2)(forx=5

Example1.𝑓 𝑥 = 2(

YourTurn2.𝑓 𝑥 = 3(

Page 12: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Example

3.𝑓 𝑥 = 9<

(

YourTurn

4.𝑓 𝑥 = 9:

(

5.𝑓 𝑥 = :

<

(

Page 13: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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6.

7.

8.

Page 14: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.3GraphBasicExponentialFunctions Assignment

Page 15: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.4Graph𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌whenb>1 Date:

WARMUPEvaluateeach.1.2E): + 1 2.3 ∙ 2G): − 1 3.−3 ∙ 2<)9 − 2 4.2 ∙ 2H): + 2

𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌whenb>1Example 1.𝑓 𝑥 = 2()9 + 2

YourTurn2.𝑓 𝑥 = 2(I: − 1

Page 16: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Example 3.𝑓 𝑥 = 3 ∙ 2(I< − 2

YourTurn4.𝑓 𝑥 = −2 ∙ 3(I: − 1

5.𝑓 𝑥 = 9

:∙ 2(): + 3

Page 17: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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6.𝑓 𝑥 = 3 ∙ 2(): − 2

7.𝑓 𝑥 = − 9

E∙ 2( + 1

8.

9.

Page 18: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.4Graph𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌whenb>1 Assignment

Page 19: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.5Graph𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌when0>b>1 Date:

WARMUPEvaluateeach.

1.9:

E):+ 1 2.3 ∙ 9

E

G):− 1 3.−3 ∙ 0.5<)9 − 2 4.2 ∙ 0.75H): + 2

𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌when0>b>1Example 1.𝑓 𝑥 = 0.5()9 + 2

YourTurn2.𝑓 𝑥 = 0.5(I: − 1

Page 20: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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Example

3.𝑓 𝑥 = 3 ∙ 9E

(I<− 2

YourTurn4.𝑓 𝑥 = −2 ∙ 0.75(I: − 1

5.𝑓 𝑥 = 9

:∙ 9<

():+ 3

Page 21: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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6.𝑓 𝑥 = 3 ∙ 0.2(): − 2

7.𝑓 𝑥 = 0.75( + 1

Page 22: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.5Graph𝒇 𝒙 = 𝒂𝒃𝒙)𝒉 + 𝒌when0>b>1 Assignment

Page 23: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.6UnitReview Date:

WARMUPDescribethechangeeachhasonexponentialgraphs.1.bisgreaterthan1. 2.bisbetween0and1. 3.aisnegative.Example1.𝑓 𝑥 = 2 𝑥 + 2 + 1

2.𝑓 𝑥 = − 𝑥 − 13 − 3

Page 24: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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3.𝑓 𝑥 = 3(

4.𝑓 𝑥 = 2 ∙ 2()< + 1

5.𝑓 𝑥 = 2 ∙ 0.5()< + 1

Page 25: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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9.6UnitReview Assignment

Page 26: Unit 9 Packet Parent Functions - algebra2henry.weebly.com · Unit 9 – Alg 2 7 9.2 Graph Cube Root Functions Date: WARM UP Evaluate each. Give an exact answer and an approximation

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