{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 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 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 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE " " 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 18 "Rational Functions" }} {PARA 0 "" 0 "" {TEXT -1 15 " Example: For " }{XPPEDIT 18 0 "f(x) = 2 /(x+2);" "6#/-%\"fG6#%\"xG*&\"\"#\"\"\",&%\"xG\"\"\"\"\"#F-!\"\"" }} {PARA 0 "" 0 "" {TEXT -1 113 "(i) Find the vertical and horizontal ays mptotes by using the \"short cut\" we did in class. (j) Graph the func tion." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "f:=x-> 2/(x+2);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(f(1000));" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf(f(-1000);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 256 97 "To graph the function, select proper val ues \"a\", \"b\",\"c\" and \"d\" below before you plot the graph." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "plot(f,a..b,c..d);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Example 2. For " }{XPPEDIT 18 0 "f(x) = 2*x^3/((x+2)*(2* x-1)*(x-1));" "6#/-%\"fG6#%\"xG*(\"\"#\"\"\"*\$)%\"xG\"\"\$F*F**(,&%\"xG \"\"\"\"\"#F2F2,&*&\"\"#F2F1F2F2\"\"\"!\"\"F2,&F1F2\"\"\"F8F2!\"\"" }} }{EXCHG {PARA 256 "" 0 "" {XPPEDIT 18 0 "%?;" "6#%#%?G" }{TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 113 "(i) Find the vertical and horizontal aysmptotes by using the \"short cut\" we did in class. (j) Graph the \+ function." }}}}{MARK "8" 0 }{VIEWOPTS 1 1 0 1 1 1803 }