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Mathematics 141 Practice quiz 6
Functions
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[1] Which of figures below are the graphs of functions :
#1 #2 #3 #4 #5
You must check only those boxes corresponding to functions (no part credit)
#1 is a function (check if this is true)
#2 is a function (check if this is true)
#3 is a function (check if this is true)
#4 is a function (check if this is true)
#5 is a function (check if this is true)


[2] If f(x) = 3x2 - 2x + 5, then f(-2) = ?

[3] If f(x) = 2x + 5, then f(x-4) = ?

[4] If f(x) = 3x2 - 6x + 5, then f(1 +

 2
) = ?

[5] Name the domain and range of the function : f(x) = | x-2 |
(a) domain and range are both the set of all real numbers
(b) domain is the set of positive real numbers; the range is the set of all real numbers
(c) domain is the set of all real numbers; the range is the set of positive real numbers
(d) domain is the set of all real numbers; the range is the set of non-negative real numbers
(e) domain and range are both the set of all positive real numbers

[6] Enter decimals below in the table of values for the function : f(x) = 3x2 - 6x + 5
 
x 1
2
1 +  
 2
4
f(x)
  All 3 decimal values must be correct to receive credit

[7]
"1% milk" contains 1 part dissolved butterfat per 100 parts milk. How many liters of 1% milk must be added to 5 liters of 2% milk to obtain a mixture which is 1¾% (1.75%) butterfat ?
  Which of the following defines a variable x suitable for solving the boxed problem above?
 
(a) Let x = 1% milk
(b) Let x = number of liters of 1¾% milk
(c) Let x = number of liters of 1% milk added
(d) Let x = amount of butterfat in the 1¾% milk
(e) Let x = amount of butterfat in the 1% milk
(f) Let x = number of liters of 2% milk
(g) Let x = amount of butterfat in the 1¾% milk

[8]
"1% milk" contains 1 part dissolved butterfat per 100 parts milk. How many liters of 1% milk must be added to 5 liters of 2% milk to obtain a mixture which is 1¾% (1.75%) butterfat ?
  Using the correct definition of x in problem [7] above, enter numbers or expressions involving x
which correctly translate the information in the boxed problem above.
The way you write your answers may affect the score :
use decimals rather than fractions. Each table row worth ½ point
 
1% milk 2% milk 1¾% milk
Total volume in liters
Volume of butterfat only

[9]
"1% milk" contains 1 part dissolved butterfat per 100 parts milk. How many liters of 1% milk must be added to 5 liters of 2% milk to obtain a mixture which is 1¾% (1.75%) butterfat ?
  Write an equation using the bottom row of the table you created in problem 8 above, and solve this equation, thus answering the question in the boxed problem..
  The number of liters of 1% milk needed is x =

[10]
Use your mouse to move the red line, producing a graph of the function y = 2x + 4 ; to preserve your chosen graph, slide your mouse off the bottom edge of the graph
The graph requires Netscape 3.0+ or I.E. 4.0+

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