Logarithms Graph

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

• x=1

• x=-1

• y=1

• y=-1

Tags

CCSS.HSF-IF.C.7E

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

Which graph is logarithmic

• 
• 
• 
• 

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+5)-6 after the following transformations:
Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

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) = ln(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 transformation of y=ln(x) that would give the graph for y = ln(x+7)

• vertical translation 7 up

• vertical translation 7 down
  vertical stretch by a factor of 7

• horizontal translation 7 left

• horizontal translation 7 right

Tags

CCSS.HSF.BF.B.3

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Tags

CCSS.HSF-IF.C.7E