Expression 4: "y" equals left brace, "x" less than 0 : 0 , "x" less than "r" : negative StartFraction, "t" Over "r" squared , EndFraction left parenthesis, "x" minus "r" , right parenthesis squared plus "t" , "t" , right brace Has graph. To audio trace, press ALT+T.y=x<0:0,x<r:−tr2x−r2+t,t
4
Expression 5: "y" equals left brace, "x" less than 0 : 1 , "x" less than "r" : StartFraction, 1 minus "t" Over "r" squared , EndFraction left parenthesis, "x" minus "r" , right parenthesis squared plus "t" , "t" , right brace Has graph. To audio trace, press ALT+T.y=x<0:1,x<r:1−tr2x−r2+t,t
5
Expression 6: "y" equals left brace, "x" less than 0 : "c" , "x" greater than or equal to "r" minus "n" : "t" , "c" less than "t" : ( "c" "r" squared plus 2 "r" "x" StartRoot, "t" ( negative ( "c" minus "t" ) ) , EndRoot minus "t" "x" squared ) / "r" squared , ( "c" "r" squared minus 2 "r" "x" StartRoot, ( "t" minus 1 ) ( negative ( "c" minus "t" ) ) , EndRoot minus "t" "x" squared plus "x" squared ) / "r" squared , right brace Has graph. To audio trace, press ALT+T.y=x<0:c,x≥r−n:t,c<t:(cr2+2rxt(−(c−t))−tx2)/r2,(cr2−2rx(t−1)(−(c−t))−tx2+x2)/r2
6
Expression 7: "n" equals left brace, "c" less than or equal to "t" : StartFraction, "r" "t" minus StartRoot, "r" squared "t" left parenthesis, "t" minus "c" , right parenthesis , EndRoot Over "t" , EndFraction , StartFraction, StartNestedFraction, StartRoot, negative "c" "t" plus "c" plus "t" squared minus "t" , EndRoot NestedOver "r" , EndNestedFraction plus StartNestedFraction, "t" NestedOver "r" , EndNestedFraction minus StartNestedFraction, 1 NestedOver "r" , EndNestedFraction Over StartNestedFraction, "t" NestedOver "r" squared , EndNestedFraction minus StartNestedFraction, 1 NestedOver "r" squared , EndNestedFraction , EndFraction , right brace equals 4.6 5 4 7 7 5 1 6 1 7 5n=c≤t:rt−r2tt−ct,−ct+c+t2−tr+tr−1rtr2−1r2
