Graphing Logarithms Date Period - Kuta Software LLC

[Pages:4]Kuta Software - Infinite Algebra 2

Graphing Logarithms

Name___________________________________ Date________________ Period____

Identify the domain and range of each. Then sketch the graph.

1) y = log 6 (x - 1) - 5

2) y = log 5 (x - 1) + 3

y

y

8

8

6

6

4

4

2

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

3) y = log 6 (x - 3) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

4) y = log 2 (x - 1) + 3

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

5) y = log 4 (x + 1) - 4

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

6) y = log 5 (x + 1) + 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

7) y = log 4 (x + 2) + 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

8) y = log 6 (x - 2) + 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

9) y = log 4 (3x + 11) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

10) y = log 5 (2x + 2) + 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

11) y = log 6 (3x + 14) + 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

12) y = log 2 (4x - 11) - 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Graphing Logarithms

Name___________________________________ Date________________ Period____

Identify the domain and range of each. Then sketch the graph.

1) y = log 6 (x - 1) - 5

2) y = log 5 (x - 1) + 3

y 8

Domain: x > 1

y 8

Range: All reals

6

6

4

4

2

2

Domain: x > 1 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

3) y = log 6 (x - 3) - 5

y 8

6

4

2

Domain: x > 3 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

4) y = log 2 (x - 1) + 3

y 8

6

4

2

Domain: x > 1 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

5) y = log 4 (x + 1) - 4

y 8

6

4

2

Domain: x > -1 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

6) y = log 5 (x + 1) + 1

y 8

6

4

2

Domain: x > -1 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

7) y = log 4 (x + 2) + 1

y 8

6

4

2

Domain: x > -2 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

8) y = log 6 (x - 2) + 1

y 8

6

4

2

Domain: x > 2 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

9) y = log 4 (3x + 11) - 5

y 8

6

4

2

11 Domain: x > - 3 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

10) y = log 5 (2x + 2) + 5

y 8

6

4

2

Domain: x > -1 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

11) y = log 6 (3x + 14) + 1

y 8

6

4

2

14 Domain: x > - 3 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

12) y = log 2 (4x - 11) - 2

y 8

6

4

2

11 Domain: x > 4 Range: All reals

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

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