{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }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 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 9 "Functions" }}{PARA 0 "" 0 " " {TEXT -1 113 "For the following functions. (1) Find the range of eac h function by using its graph. (2) Find the domain by hand." } {MPLTEXT 0 21 0 "" }{TEXT -1 1 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "Exercise 1: " }{TEXT 256 6 "f(x) =" }{TEXT -1 1 " " }{XPPEDIT 18 0 "(2*x-1)/((x-1)*(3*x+1));" "6#*&,&*&\"\"#\"\"\"%\"xGF'F'F'!\"\"F'*&, &F(F'F'F)F',&*&\"\"$F'F(F'F'F'F'F'F)" }{TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "f:=x->(2* x-1)/((x-1)*(3*x+1));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "pl ot(f,-2..2,-5..5);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 12 "Exer cise 2: " }{TEXT 257 5 "g(x)=" }{XPPEDIT 18 0 "sqrt((2*x-1)/((x-1)*(3* x+1)));" "6#-%%sqrtG6#*&,&*&\"\"#\"\"\"%\"xGF*F*F*!\"\"F**&,&F+F*F*F,F *,&*&\"\"$F*F+F*F*F*F*F*F," }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 36 "g:=x->sqrt((2*x-1)/((x-1)*(3*x+1)));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(g,-1..2,0..5);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "?piecewise;" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 0 {PARA 4 "" 0 "examples" {TEXT -1 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "f:=x->piecew ise(x<0,-1,x<1,0,1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f(1/ 2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(f(x),x=-5..5); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "g:=x->piecewise(x<0,-x, x<1,x^2,2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(g(x),x= -5..5);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "3 0 1" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }