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Calculus I                                         Quiz 2                       September 14, 2004

Name _________________        R. Hammack                              Score_____
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(1) The graphs of two functions f and g are given.

[Graphics:HTMLFiles/Q2F04A_1.gif][Graphics:HTMLFiles/Q2F04A_2.gif]

Use the graphs to answer the following questions.

(a)   f(g(2)) = f(4) = 1
(b)   (g∘f) (4) = g(f(4)) = g(1) = 3
(c)   (f + g) (0) = f(0) + g(0) = 4 + 1 = 5
(d)   (f g) (1) =f(1)g(1) = (4)(3) = 12


(2) Write the function   h(x) = x^(1/2)/(1 + x^(1/2)) as a composition of two simpler functions.

Let f(x) = 1/(1 + x) and g(x) = x^(1/2).  Then h(x) = f(g(x)).



(3) The graph of a function g(x) is given. Sketch the graph of y = -g(x + 2).


[Graphics:HTMLFiles/Q2F04A_12.gif]
The graph of y = g(x+2) is drawn dashed.
The graph of y = -g(x+2) is drawn solid.