Li Chen Fall 2006 Math 131 Supplementary problems 3 Curve Sketching Sketch each curve that satisfies the given conditions 1 x ints 3 0 1 0 y int 0 3 f 2 0 f x 0 on 2 f x 0 on 2 f x 0 for all real numbers 2 x ints 0 4 and 4 f 2 f 2 0 f x 0 on 2 2 f x 0 on 2 and 2 f x 0 on 0 f x 0 on 0 3 f 2 1 f 0 2 f x 0 on 2 0 f x 0 on 2 and 0 f x 0 on 1 and 1 f x 0 on 1 1 lim f x 0 lim f x x x 4 x int 4 0 y ints 0 1 f 5 0 f 5 2 lim f x lim f x 0 x x lim f x lim f x x 3 x 3 f x 0 on 5 f x 0 on 3 and 3 5 f x 0 on 3 6 f x 0 on 3 and 6 5 x ints 1 and 1 lim f x lim f x 0 lim f x x x x 0 lim f x lim f x x 2 x 2 lim f x lim f x x 2 x 2 f x 0 on 2 and 2 0 f x 0 on 0 2 and 2 f x 0 on 2 1 and 1 2 f x 0 on 2 1 0 0 1 and 2 Li Chen Fall 2006 The answers are not in a same order as the problems If you find any mistakes please let me know Thanks li chen2 neo tamu edu 3 2 1 1 0 2 4 6 2 1 0 1 2 2 3 3 2 1 4 2 1 0 2 4 2 2 1 0 1 2 4 2 0 1 2
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