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.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.C.7E

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.C.7E

Select all the transformations that apply.

y = -2 log _1/2 x

There is more than 1 answer.

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

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

• 
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• 
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Tags

CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

What is the range of log(x)?

• (-2, 4)

• (-∞, ∞)

• (-∞, 0)

• (∞, -∞)

Describe the transformation on

 $g\left(x\right)=\log_2\left(x-3\right)$  

• The graph has been shifted 3 units up

• The graph has been shifted 3 units to the right

• The graph has been shifted 2 units right

• The graph has been shifted 3 units left