College Algebra Diagnostic Quiz - 1
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1.  Given the function below, find the value of  f (–3). 
 
 
2                0                –1                1 
 
2.  Given the function below, find the value of  f (2). 
 
 
–11 
10 
1 
–1 
 
3.  Given a function, f , and two different numbers, a and b, it is possible that f(x) = a and   
f(x) = b. 
True                    False 
 
4.  Given a function, f , and two different numbers, a and b, it is possible that f(a) = y and  f(b) = y. 
True                    False 
 
5.  Given the function below, find its domain. 
 
 
 
 
 
 
 
6.  Given the function below, find its domain. 
 
 
 
 
 
x = 3, 10 
 
7.  Given the function below, find its domain. 
 
 
x > 9           All real Nos.                x > 3                x < 3 
 
8.  Given the function: 

     Find the following difference quotient: 
 

 
2x + h – 2                1                      h / h           –6xh + 5 
 
9.  Based on the figure shown below, find the value of  f(–2) 

  
4 
 
0 
 
1 
 
2 
 
 
10.  Refer to the graph in the preceding question.  Over what interval of the domain is the function decreasing? 
 
(1, –2)                (–2/3, 1)                (–1, 0)                (–2, 0)  
 
11.  Given the following function, which of the given statements is true about it? 
 
 
It is odd.           It is even.           It is both.          It is neither. 
 
12.  Consider the graph of the following function.  Which of the transformations listed below would apply to it? 
 
 
Shift up 3, left 2                Reflect about  y-axis, shift right 2  
Shift right 3, up 2                Stretch up by a factor of 3, shift down 2 
 
13.  Consider the graph of the following function.  Which of the transformations listed below would apply to it? 
 
 
Shift up 3, reflect about  y-axis                 Shift left 3, reflect about x-axis  
Shift right 3, reflect about  y-axis                Shift right 3, shift down 1 
 
14.  Consider the graph of the following function.  Determine its range. 
  
 
 
 
 
 
 
15.  Consider the functions given below: 
 
 
        Find the value of:   (f – g)(–4) 
 
34                –5                17                –22 
 
16.  Refer to the functions given in the preceding question.  Find the following: 
 
 
 
 
 
 
 
17.  Use the graphs shown below to find the value of the following: 
 
 
 
4                –3                –1                2 
 
18.  Use the graphs shown in the preceding question to find the value of the following: 
 
 
3                –2                –1                0 
 
19.  The following statement is always correct: 
  
 
True                    False 
 
20.  Given the following expression: 
  
 

  Which of the following is a possible pair of functions that would correspond to it? 
 

 
 
 
 
 
 
 

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