{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Extra Credits:" }}{PARA 0 "" 0 "" {TEXT -1 2 "I." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "f:=x-> (x+1)*(x-2)*(x-4);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "g:=x-> int(f(x),x);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "g(x);" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 18 "h:=x->int(g(x),x);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 5 "h(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 " factor(h(x));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "plot(\{f(x ),g(x),h(x)\},x=-5..5,y=-20..20,thickness=2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Questions: " }}{PARA 0 "" 0 "" {TEXT -1 78 "(1) Can yo u identify the graphs of y=f(x), y=g(x), and y=h(x) respectively?" }}{PARA 0 "" 0 "" {TEXT -1 83 "(2) Can you describe the relationships \+ between f and g, and f and h respectively?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "II." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 45 "plot((1/x)*sin(1/x),x=-0.1..0.1,y=-100..100);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "limit((1/x)*sin(1/x),x=0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "8 4 0" 3 } {VIEWOPTS 1 1 0 1 1 1803 }