G10APQZ.5 Lesson Graphing Logarithmic Functions

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

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

• 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

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

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

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.B.5

CCSS.8.F.A.1

Find the inverse of the equation

• 2^(x-9)+5=y
• 2^(x+9)-5=y
• 5^(x-9)-5=y

Tags

CCSS.HSF-BF.B.4A

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

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

f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The graph of a logarithmic function is given. Select the function for this graph

• f(x) = log₃x

• f(x) = -log₃x

• f(x) =log₃(-x)

• f(x) = log₃(-x+1)

Tags

CCSS.HSF-IF.C.7E