College Algebra Diagnostic Quiz - 3
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1.  Given the function:

 Which of the following is true about it?

     
    The horizontal asymptote is y = 1; the vertical asymptote is x = 5
      The horizontal asymptote is x = 5; the vertical asymptote is y = 1
      The horizontal asymptote is y = 0; the vertical asymptote is x = –5
    The horizontal asymptote is x = –5; the vertical asymptote is y = 0
2.  Given the function:


  Which of the following is NOT an asymptote of the function?
 

x = 3 
x  = –3 
y = 9 
y = 0 
 
3.  Given the function:


  Which of the following is the x-intercept?
 

x = 3 
x  = –5 
x = 9 
x = –2 
 
4.  Which of the following functions has NO vertical asymptote?
 
 
5.  Consider the graph below.  Which of the following equations does it best represent?
 
 
 
 
 
 
6.  A bank offers a savings account that earns 3%, compounded monthly.  If you put $8000 in this account for 5 years, how much will you have at the end of the 5 years? (You will need your calculator to answer this question.)
 
$9200 
$9500 
$9412 
$9293 
 
7.  Doris is saving her money to buy a car when she graduates from college 4 years from now.  She invests in a stock plan that will pay her 8 percent, compounded quarterly.  At the end of the 4 years, she wants to have $12000.  How much should she invest now?  (You will need your calculator to answer this question.)
 
$8741 
$11,680 
$8160 
$9426 
 
8.  Graph the function:


  Which of the following is NOT a correct attribute of your graph?
 

  Horizontal asymptote is the x-axis (y = 0).
  Vertical asymptote is x = –2.
  The y-intercept is (0, 25).
  The function is increasing over its entire domain.
 
9.  Find the value of the following:   log .001
 
–1000 
–2 
–3 
1/1000 
 
10.  Find the value of the following:


2
4x – 8
x – 2
 
11.  Find the value of the following:


2/3 
1/2 
–2 
–1/2 
 
12.  Find the value of the following:


3
 
13.  Consider the graph below.  Which of the following equations does it best represent?
 
 
 
14.  Find the value of the following:


17 
17a 
 
15.  Simplify the following:


 
16.  Express as a sum or difference of logarithms:


 
17.  Solve for x:


ln 4 
4 
 
18.  Solve for x:


3 
 
19.  Solve for x:


15 
4 
 
20.  Solve for x:


1 
2 
 

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