Graphing Logarithmic Functions

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Tags

CCSS.HSF-IF.C.7E

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Find the corresponding graph of
 $-\log_4\left(x+1\right)+2$  

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Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers
• D: all real numbers
  R: y ≥ 0
• D: x ≥ 2
  R: y ≥ 3
• D: x ≤ 2
  R: y ≤ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Which graph best represents the following logarithmic function?
 $y=\log_4x$  

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Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph best represents the following logarithmic function?
 $y=\log_2x$  

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Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7