Find the domain and range of: f ( x ) = log ⁡ 2 ( x ) f(x)=\log_2(x) f ( x ) = lo g 2 ( x )

Domain: ( 0 , ∞ ) \left(0,\infty\right) ( 0 , ∞ ) Range: \left(-\infty,\infty\right) ( − ∞ , ∞ )

Domain: ( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ ) Range: ( 0 , ∞ ) \left(0,\infty\right) ( 0 , ∞ )

Domain: \left(-\infty,\infty\right) ( − ∞ , ∞ ) Range: ( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ )

Domain: \left(-\infty,\infty\right) ( − ∞ , ∞ ) Range: ( − ∞ , 0 ) \left(-\infty,0\right) ( − ∞ , 0 )

Find the domain and range of: f(x) = ln(x)

Domain: x > 0 Range: all real numbers

Domain: all real numbers Range: all real numbers

Domain: all real numbers Range: y < 0

Describe the transformation of y=ln(x) that would give the graph for y = ln(x+7)

vertical translation 7 down vertical stretch by a factor of 7

Describe the transformation of y=ln(x) that would give the graph for y = 7ln(x)

vertical stretch by a factor of 7

vertical compression by a factor of 7

Log Graphs

Authored by Holly Dickinson

Mathematics

9th - 12th Grade

CCSS covered

Used 134+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

g(x)=log₃(x+6)+4

g(x)=log₃(x+4)-6

g(x)=log₃(x-6)+4

g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

Select all of the transformations of f(x)=lnx that produce the function
g(x)= − lnx+3

vertical stretch by e

Reflection over the y-axis

Translation 3 units left

Reflection over the x-axis

Translation 3 units up

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

Vertical stretch by a factor of 8

Vertical stretch by 5

Translation 4 units left

Translation 4 units right

Translation 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

f(x)=log(x+2)+2

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

f(x)=log(x+8)-4

f(x)=log(x+8)+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

g(x)=5log(x+5)+4

g(x)=5log(x-5)+4

g(x)=6log(x-1)

g(x)=6log(x-5)+4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

g(x)=log(x+2)+2

g(x)=log(x+2)-4

g(x)=log(x+8)-4

g(x)=log(x+8)+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations of f(x)= -log₂(x+1)

left one & y-axis reflection

right one & y-axis reflection

left one & x-axis reflection

right one & x-axis reflection

Tags

CCSS.HSF.BF.B.3

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Log Graphs

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

Select all of the transformations of f(x)=lnx that produce the function
g(x)= − lnx+3

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

Describe the transformations of f(x)= -log₂(x+1)

What kind of asymptotes do logs have?

find the asymptote: y = log₁₀ (x+3)

Find the asymptote of the following: y = log₁₀x - 6

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Popular Resources on Wayground

Discover more resources for Mathematics

Log Graphs

Write the equation of the function f(x)=log3x after the following transformations:Translate 6 units left and 4 units up.

Select all of the transformations of f(x)=lnx that produce the function g(x)= − lnx+3

Select all of the transformations of f(x)=log5x that produce the function g(x)=8log5(x-4)

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:Translate 3 units left and 2 units up.

Write the equation of the function f(x)=3logx+4 after the following transformations:Vertical stretch by a factor of 2, translate 5 units to the right.

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:Translate 3 units left and 2 units up.

Describe the transformations of f(x)= -log2(x+1)

What kind of asymptotes do logs have?

find the asymptote: y = log10 (x+3)

Find the asymptote of the following: y = log10 x - 6

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

Select all of the transformations of f(x)=lnx that produce the function
g(x)= − lnx+3

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

Describe the transformations of f(x)= -log₂(x+1)

find the asymptote: y = log₁₀ (x+3)

Find the asymptote of the following: y = log₁₀x - 6