Practice Page
Directions: Read carefully and choose the best answers.

1.
The graph of the function f (x) = log2x is translated to the left two units and down two units. Which choice is the x-intercept of the translated graph?  
Choose:
 
(0,-1)
(1,0)
(2,0) (3,0)

 

 

2.
For which function is its domain equal to its range?
logsrule
Choose:
 
y = ex
y = log x
 
y = x2
y = x

 

 

3.
Which statement about the graph of f (x) = -log(x + 3) - 1 is true?
  
Choose:
 
x → ∞, y → ∞
y-intercept at (0,-1)
 
x → -3, y → ∞
y-intercept at (0,1)

 

 

4.
Which of the following choices describes the end behavior of the function shown below?

log1

  
Choose:
 
log1a
log1b
 
log1c
log1d

 

 

5.
The asymptote of the function f (x) = 4 log(x + 2) is ...
Choose:
 
y = 6
 
x = -2
 
y = 4
 
x = 2
lovelogs

 

 

6.
Which of the functions has a different asymptote than the rest of the listed functions?
  
Choose:
 
f (x) = 3 • log2(x - 1) + 5
g(x) = 3 • log2(x + 1) + 5
 
h(x) = 9 • log2(x - 1) + 5
k(x) = 3 • log2(x - 1) - 6

 

 

7.
Which statement about the graph of f (x) = log9 x is false ?
  
Choose:
 
The domain is the set of positive reals.
 
The equation of the asymptote is y = 0.
 
The range is all real numbers.
 
The graph has no y-intercept.

 

 

8.
Which of the following is true regarding the
x-intercepts of the functions f (x) and g(x) ?

f (x) = log(x - 2)
x
g(x)
-2
12
-1
9
0
6
1
3
2
0
Choose:
 
x-intercept of f (x) has larger x-value.
 
x-intercept of g(x) has larger x-value.
 
x-intercepts of the two functions have the same x-values.

 

 

9.
Given f (x) = ln(x + 4), what is the smallest integer value of x for which the function f (x) is defined?
logln
Choose:
 
-4
-3
 
-1
0

 

 

10.
Which function corresponds best with the graph shown at the right?

Choose:
 
y = ln(x + 2)
 
y = ln(x - 2)
  y = ln(x) + 2
  y = ln(x) - 2


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