Logarithm Graphs

Logarithm Graphs

10th - 12th Grade

9 Qs

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Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

CCSS
HSF-IF.C.7E, HSF.BF.B.3, HSF.IF.C.7

+3

Standards-aligned

Created by

Anne Russell

Used 118+ times

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=log5(x+4) - 2

Describe the asymptote

Horizontal Asymptote x = -4

Vertical Asymptote x = -4

Horizontal Asymptote x = 4

Vertical Asymptote x = 4

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=log5(x+4) - 2

Find the Domain and Range

Domain: x ≥ -4

Range: all real numbers

Domain: all real numbers

Range: y ≥ -4

Domain: all real numbers

Range: y > -4

Domain: x > -4

Range: all real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=log5(x+4) - 2

Describe the transformation

translation 4 units to the right, 2 units down

translation 4 units to the left, 2 units down

translation 4 units to the up, 2 units right

translation 4 units to the up, 2 units left

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=2ln(x+2)

Describe the asymptote

Horizontal asymptote x = -2

Horizontal asymptote x = 2

Vertical asymptote x = -2

Vertical asymptote x = 2

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=2ln(x+2)

Find the Domain and Range

Domain: (-∞, ∞)

Range: ( -2, ∞)

Domain: (-∞, ∞)

Range: ( -∞, -2)

Domain: ( -∞, -2)

Range: (-∞, ∞)

Domain: ( -2, ∞)

Range: (-∞, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=2ln(x+2)

Describe the transformation

Vertical Stretch by 2, translation 2 units to the left

Vertical Compression by 2, translation 2 units to the left

Vertical Stretch by 2, translation 2 units to the right

Vertical Compression by 2, translation 2 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=¼ ln(x - 2) + 3

Describe the asymptote

Horizontal asymptote x=2

Horizontal asymptote x= -2

Vertical asymptote x=2

Vertical asymptote x= -2

Tags

CCSS.HSF-IF.C.7E

8.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=¼ ln(x - 2) + 3

Find the Domain and Range

Domain: all real numbers

Range: y > 2

Domain: all real numbers

Range: y > -2

Domain: x > -2

Range: all real numbers

Domain: x > 2

Range: all real numbers

9.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=¼ ln(x - 2) + 3

Describe the transformation

Vertical Stretch by 1/4, translation 2 units right, 3 units up

Vertical Compression by 1/4, translation 2 units right, 3 units up

Vertical Stretch by 1/4, translation 2 units left, 3 units up

Vertical Compression by 1/4, translation 2 units left, 3 units up

Tags

CCSS.HSF.BF.B.3