Expression 7: "y" equals left brace, "x" Subscript, "a" , Baseline less than "x" less than or equal to "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline : "g" Subscript, 2 , Baseline left parenthesis, StartFraction, "y" Subscript, "s" , Baseline minus 1 Over "x" Subscript, "d" , Baseline , EndFraction left parenthesis, "x" minus "x" Subscript, "a" , Baseline , right parenthesis plus 1 , "y" Subscript, "s" , Baseline , 1 , right parenthesis , right bracey=xa<x≤xa+xd:g2ys−1xdx−xa+1,ys,1
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Expression 8: "y" equals left brace, "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline less than "x" less than or equal to "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline plus "x" Subscript, "s" , Baseline : "y" Subscript, "s" , Baseline , right bracey=xa+xd<x≤xa+xd+xs:ys
8
Expression 9: "y" equals left brace, "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline plus "x" Subscript, "s" , Baseline less than "x" less than or equal to "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline plus "x" Subscript, "s" , Baseline plus "x" Subscript, "r" , Baseline : "g" Subscript, 2 , Baseline left parenthesis, StartFraction, negative "y" Subscript, "s" , Baseline Over "x" Subscript, "r" , Baseline , EndFraction left parenthesis, "x" minus left parenthesis, "x" Subscript, "a" , Baseline plus "x" Subscript, "d" , Baseline plus "x" Subscript, "s" , Baseline , right parenthesis , right parenthesis plus "y" Subscript, "s" , Baseline , 0 , "y" Subscript, "s" , Baseline , right parenthesis , right bracey=xa+xd+xs<x≤xa+xd+xs+xr:g2−ysxrx−xa+xd+xs+ys,0,ys
9
Expression 10: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "x" Superscript, 1 third , Baselinef1x=x13
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Expression 11: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals "x" cubedf2x=x3
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Expression 12: "g" Subscript, 1 , Baseline left parenthesis, "x" , "l" , "u" , right parenthesis equals "f" Subscript, 1 , Baseline left parenthesis, StartFraction, "x" minus "l" Over "u" minus "l" , EndFraction , right parenthesis left parenthesis, "u" minus "l" , right parenthesis plus "l"g1x,l,u=f1x−lu−lu−l+l
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Expression 13: "g" Subscript, 2 , Baseline left parenthesis, "x" , "l" , "u" , right parenthesis equals "f" Subscript, 2 , Baseline left parenthesis, StartFraction, "x" minus "l" Over "u" minus "l" , EndFraction , right parenthesis left parenthesis, "u" minus "l" , right parenthesis plus "l"g2x,l,u=f2x−lu−lu−l+l