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

1.
Which of the following choices describes the end behavior of the function shown below?

log1

  
Choose:
 
log1a
log1b
 
log1c
log1d

 

 

2.
The statement y = log5 x is equivalent to ...
logsrule

Choose:
 
x = 5y
y = 5x
 
x = 5 log y
y = log x5

 

 

3.
The graph of y = log7 x ...
  

Choose:
 
intersects the x-axis.
intersects the y-axis.
 
intersects both axes.
intersects neither axis.

 

 

4.
Find the range of y = log(x) + 3.
Choose:
 
[1,∞)
 
[3,∞)
 
(3,∞)
 
All Reals
lovelogs



5.
The domain of f (x) = log x is ...
 

Choose:
 
all positive real numbers
 all reals less than zero
 
all reals greater than one
 all real numbers

 

 

6.
Consider the graph of y = ln(x) with the limited domain (0, 10]. What is the maximum value of the function on this interval?
  

Choose:
 
1
ln 2
 
ln 10
10

 

 

7.
The statement f (x) = log3 x is equivalent to ...
 
Choose:
 
log44
log42
 
log43
log41

 

 

8.
Find the domain of f (x) = ln(x + 3).
  

Choose:
 
[3,∞)
(3,∞)
(-3,∞)
[-3,∞)

 

 

9.
Given f (x) = e3ln(x).
Find the value of f (2).
logln

Choose:
 
-8
-2
 
8
does not exist

 

 

10.
The graph of    f (x) = logb x
is shown at the right. Which statement must be true about b?
logbluegraph

Choose:
 
b > 1
0 < b < 1
 
b < 0
b < -1

 

 

11.
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.

 

 

12.
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.

 


13.
The graph of  the inverse of y = 3x is shown at the right. Which of the choices represents this graph?
log13

Choose:
 
y = (-3)x
y = log3 x
 
y = 3-x
y = logx3

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