Transformations of Logarithmic Functions

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

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Find the domain and range of:
f(x) = log₂(x)

• D: all real numbers
  R: y > 0
• Domain: all real numbers
  Range: all real numbers
• Domain: x > 0
  Range: all real numbers
• Domain: all real numbers
  Range: y < 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

What is an asymptote in the graph of a mathematical function?

• Always a horizontal line that a graph approaches but never touches.

• Always a vertical line that a graph approaches but never touches.

• Always a slanted line that a graph approaches but never touches.

• A horizontal, vertical, or slanted line that a graph approaches but never touches.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Using the parent function  $y=\log_3x$   what would the graph of  $y=\log_3\left(x+5\right)$   look like?

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Using the parent function 

 $y=\log_6x$ what would the graph of  $y=\log_6x+9$   look like?

• Horizontal Shift to the right 9 units

• Horizontal shift to the left 9 units

• Vertical shift 9 units up

• Vertical shift 9 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the corresponding graph of
 $\log_3\left(x-1\right)+4$  

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7