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Quiz6 - ∪(2 ∞(b f-3 =-1 f(0 = 0 and f(3 = 1(c f p x<...

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Name Recitation (Circle) 8:30 9:30 Math 131 Quiz 6 Use the techniques learned in class to do the following problems and show your work! 1.) For f ( x ) = e - x 2 , ±nd the second derivative f pp ( x ). 2.) Sketch a graph of a function f ( x ) which satis±es the following properties. Take your time and label all axes carefully. (a) f is continuous on the domain ( -∞ , - 2) ( - 2 , 2)
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Unformatted text preview: ∪ (2 , ∞ ). (b) f (-3) =-1, f (0) = 0, and f (3) = 1. (c) f p ( x ) < 0 on (-∞ ,-2) ∪ (2 , ∞ ) and f p ( x ) > 0 on (-2 , 2). (d) f pp ( x ) < 0 on (-∞ ,-2) ∪ (-2 , 0) and f pp ( x ) > 0 on (0 , 2) ∪ (2 , ∞ ). (e) f has vertical asymptotes x =-2 and x = 2, and horizontal asymptote y = 0....
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