Expression 7: 0 less than or equal to "y" less than or equal to "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction ceil left parenthesis, StartFraction, "x" minus "a" Over "b" minus "a" , EndFraction "n" , right parenthesis , right parenthesis left brace, "a" less than or equal to "x" less than or equal to "b" , right brace0≤y≤fa+b−anceilx−ab−ana≤x≤b
7
Expression 8: "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction ceil left parenthesis, StartFraction, "x" minus "a" Over "b" minus "a" , EndFraction "n" , right parenthesis , right parenthesis less than or equal to "y" less than or equal to 0 left brace, "a" less than or equal to "x" less than or equal to "b" , right bracefa+b−anceilx−ab−an≤y≤0a≤x≤b
8
Expression 9: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" minus 1 , right parenthesis , max left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" minus ceil left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis times max left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times ceil left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times ceil left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesisa+b−an·ceilnt−1,maxfa+b−an·ceilnt−1,fa+b−an·ceilnt·nt−ceilnt−1·maxfa+b−an·ceilnt−1fa+b−an·ceilnt−1,0
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
9
Expression 10: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" , right parenthesis , min left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times ceil left parenthesis, "n" "t" plus 1 , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" plus 1 minus ceil left parenthesis, "n" "t" , right parenthesis , right parenthesis times negative 1 times min left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times ceil left parenthesis, "n" "t" , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times ceil left parenthesis, "n" "t" , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesisa+b−an·ceilnt,minfa+b−an·ceilnt,fa+b−an·ceilnt+1·nt+1−ceilnt·−1·minfa+b−an·ceilntfa+b−an·ceilnt,0
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
10
Expression 11: "x" equals "b" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "b" , right parenthesis , right bracex=b0≤y≤fb
11
Expression 12: "x" equals "b" left brace, "f" left parenthesis, "b" , right parenthesis less than or equal to "y" less than or equal to 0 , right bracex=bfb≤y≤0
12
Expression 13: "x" equals "a" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis , right bracex=a0≤y≤fa+b−an
13
Expression 14: "x" equals "a" left brace, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis less than or equal to "y" less than or equal to 0 , right bracex=afa+b−an≤y≤0