Graphs of Logarithmic Functions

Logarithms and Exponentials are __________?

• parallel
• perpendiular 
• inverses
• congurent

Tags

CCSS.HSF.BF.B.5

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF-IF.C.7E

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

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

Translate 3 units left and 2 units up.

• f(x)=log(x+2)+3

• f(x)=log(x-3)+2

• f(x)=log(x+3)+2

• f(x)=3log(x)+2

Find the vertical asymptote: y = log₁₀ (x+8)

• x=-8

• x=8

• y=-8

• y=8

Tags

CCSS.HSF-IF.C.7E

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

• x=6
• x=-6
• x= 0
• y=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