Log Graphs

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

Tags

CCSS.HSF.BF.B.5

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF-IF.C.7E

Find the asymptote of the following: y = log₁₀ x - 6

• x=6
• x=-6
• x= 0
• y=0

Tags

CCSS.HSF-IF.C.7E

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

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

Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection
• right one & y-axis reflection
• left one & x-axis reflection
• right one & x-axis reflection

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