Transformations of Log Functions

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E

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

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

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Tags

CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

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-IF.C.7E

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

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Tags

CCSS.HSF-IF.C.7E

Describe the graph of f(x) = log x changed to

f(x) = log(x + 21) - 50

• translate right 21 units and 50 units down

• translate left 21 units and 50 units down

• translate right 21 units and 50 units up

• translate left 21 units and 50 units up

Describe the graph of f(x) = log₉ x transformed to

f(x) = log₉(-x ) - 5

• Reflection about the y-axis; shift down 5

• Reflection about the x-axis; shift 5 down

• Reflection about the x-axis; shift up 5

• Reflection about the y-axis; shift up 5

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Tags

CCSS.HSF-IF.C.7E

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.C.7E