Graphing exponential and logarithmic functions

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

Let  $f\left(x\right)=\log x$  and  $g\left(x\right)=\log\left(x\right)+6$  for  $x>0.$  How does the graph  $g\left(x\right)$  compare to the graph of  $f\left(x\right)$  ?

• The graph of g(x) is 6 units up.

• The graph of g(x) is 6 units down. 

• The graph of g(x) is 6 units to the right. 

• The graph of g(x) is 6 units to the left.

f(x)=log₅(x+4) - 2

Describe the asymptote

• Horizontal Asymptote x = -4

• Vertical Asymptote x = -4

• Horizontal Asymptote x = 4

• Vertical Asymptote x = 4

What is the starting point of the function: $f\left(x\right)=\log_5\left(x-1\right)+3$  

• (1, 5)

• (0, 0)

• (1, 3)

• (-1, 3)

 $f\left(x\right)=\log_{12}\left(x+1\right)-2$  Are the intercepts of this equation x= -2 and y= 143

• True

• False

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

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Find the asymptote for the following.

• x = -1
• x = 1
• y = 5
• y = -5

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Which graph best represents the following logarithmic function?
 $y=\log_2x$  

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

• x = 6

• x = -6

• x = 0

• y = 0