PC - Graphs of Logs

What is the asymptote for the logarithmic function

 $f\left(x\right)=\log\left(x-1\right)$  

• x=1

• x=-1

• y=1

• y=-1

What is the transformation of the logarithmic function
 $f\left(x\right)=\log\ \left(x+3\right)-1$  

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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Which graph is logarithmic

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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)

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