Exam3 10 - zontal and vertical translation be the graph of...

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Betancourt, Daniel – Exam 3 – Due: May 1 2007, 11:00 pm – Inst: Diane Radin 10 017 (part 1 of 1) 10 points If the graph of f is which one of the following contains only graphs of anti-derivatives of f ? 1. 2. 3. 4. 5. 6. correct Explanation: If F 1 and F 2 are anti-derivatives of f then F 1 ( x ) - F 2 ( x ) = constant independently of x ; this means that for any two anti-derivatives of f the graph of one is just a vertical translation of the graph of the other. In general, no horizontal translation of the graph of an anti-derivative can be the graph of an anti-derivative, nor can a hori-
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Unformatted text preview: zontal and vertical translation be the graph of an anti-derivative. This rules out two sets of graphs. Now in each of the the remaining four Fg-ures the dotted and dashed graphs consist of vertical translations of the graph whose line-style is a continuous line. To decide which of these Fgures consists of anti-derivatives of f , therefore, we have to look more carefully at the actual graphs. But calculus ensures that...
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