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Calculus I                                                  Quiz  #3                                    September 10, 2003

Name____________________           R.  Hammack                                         Score ______
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(1) Values for two functions f(x) and g(x) are given in the table.   

x -3 -2 -1 0 1 2 3 f(x) 2 1 0 -1 -2 -1 0 g(x) -1 0 1 2 3 3 3

(a)   (f∘g) (-3) =   
(b)   (f∘g) (-2) =   
(c)    f ( g(-1)) =
(d)    f ( g(0)) =   
(e)    f ( g(1)) =   
(f)   f ( g(2)) =   
(g)    f ( g(3)) =   

(h)  Draw a rough sketch of the graph of y = f(g(x)).


[Graphics:HTMLFiles/quiz3sol_21.gif]


(2) The graph of a function f(x) is given. Using the same coordinate axis, sketch the graph of y = f(x - 3) + 1.

[Graphics:HTMLFiles/quiz3sol_27.gif]
(3) Find the equation of the line that passes through the point (2,4) and is parallel to the line 3x + y = 3.