Expression 10: "f" left parenthesis, "x" , right parenthesis equals "y" Subscript, 0 , Baseline times StartFraction, left parenthesis, "x" minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction plus "y" Subscript, "c" , Baseline times StartFraction, left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction plus "y" Subscript, 1 , Baseline times StartFraction, left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, "c" , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis , EndFraction Has graph. To audio trace, press ALT+T.fx=y0·x−xcx−x1x0−xcx0−x1+yc·x−x0x−x1xc−x0xc−x1+y1·x−x0x−xcx1−x0x1−xc
10
Expression 11: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, "x" Subscript, 0 , Baseline left parenthesis, "y" Subscript, 1 , Baseline minus "y" Subscript, "c" , Baseline , right parenthesis plus "x" Subscript, "c" , Baseline left parenthesis, "y" Subscript, 0 , Baseline minus "y" Subscript, 1 , Baseline , right parenthesis plus "x" Subscript, 1 , Baseline left parenthesis, "y" Subscript, "c" , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction "x" squared minus StartFraction, "x" squared left parenthesis, "y" Subscript, 1 , Baseline minus "y" Subscript, "c" , Baseline , right parenthesis plus "x" squared left parenthesis, "y" Subscript, 0 , Baseline minus "y" Subscript, 1 , Baseline , right parenthesis plus "x" squared left parenthesis, "y" Subscript, "c" , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction "x" plus StartFraction, "x" squared left parenthesis, "x" Subscript, "c" , Baseline "y" Subscript, 1 , Baseline minus "x" Subscript, 1 , Baseline "y" Subscript, "c" , Baseline , right parenthesis plus "x" squared left parenthesis, "x" Subscript, 1 , Baseline "y" Subscript, 0 , Baseline minus "x" Subscript, 0 , Baseline "y" Subscript, 1 , Baseline , right parenthesis plus "x" squared left parenthesis, "x" Subscript, 0 , Baseline "y" Subscript, "c" , Baseline minus "x" Subscript, "c" , Baseline "y" Subscript, 0 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction Has graph. To audio trace, press ALT+T.f1x=x0y1−yc+xcy0−y1+x1yc−y0x0−xcx0−x1xc−x1x2−x20y1−yc+x2cy0−y1+x21yc−y0x0−xcx0−x1xc−x1x+x20xcy1−x1yc+x2cx1y0−x0y1+x21x0yc−xcy0x0−xcx0−x1xc−x1
11
Expression 12: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction "x" squared minus StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction "x" plus StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" Subscript, "c" , Baseline "x" Subscript, 1 , Baseline left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" Subscript, 1 , Baseline "x" Subscript, 0 , Baseline left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" Subscript, 0 , Baseline "x" Subscript, "c" , Baseline left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction Has graph. To audio trace, press ALT+T.f2x=y0xc−x1+ycx1−x0+y1x0−xcx0−xcx0−x1xc−x1x2−y0x2c−x21+ycx21−x20+y1x20−x2cx0−xcx0−x1xc−x1x+y0xcx1xc−x1+ycx1x0x1−x0+y1x0xcx0−xcx0−xcx0−x1xc−x1
12
Expression 13: "f" prime left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.f′x
13
Expression 14: "y" Subscript, 0 , Baseline times StartFraction, 2 "x" minus left parenthesis, "x" Subscript, "c" , Baseline plus "x" Subscript, 1 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction plus "y" Subscript, "c" , Baseline times StartFraction, 2 "x" minus left parenthesis, "x" Subscript, 0 , Baseline plus "x" Subscript, 1 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction plus "y" Subscript, 1 , Baseline times StartFraction, 2 "x" minus left parenthesis, "x" Subscript, 0 , Baseline plus "x" Subscript, "c" , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis , EndFraction Has graph. To audio trace, press ALT+T.y0·2x−xc+x1x0−xcx0−x1+yc·2x−x0+x1xc−x0xc−x1+y1·2x−x0+xcx1−x0x1−xc
14
Expression 15: 2 left parenthesis, StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction , right parenthesis "x" minus left parenthesis, StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis Over left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction , right parenthesis Has graph. To audio trace, press ALT+T.2y0xc−x1+ycx1−x0+y1x0−xcx0−xcx0−x1xc−x1x−y0x2c−x21+ycx21−x20+y1x20−x2cx0−xcx0−x1xc−x1
15
Expression 16: "x" equals StartFraction, "y" Subscript, 0 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" squared minus "x" squared , right parenthesis Over 2 left parenthesis, "y" Subscript, 0 , Baseline left parenthesis, "x" Subscript, "c" , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis plus "y" Subscript, "c" , Baseline left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 1 , Baseline left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "c" , Baseline , right parenthesis , right parenthesis , EndFraction equals 0.9 6 7 3 2 3 6 9 0 6 8 8 Has graph. To audio trace, press ALT+T.x=y0x2c−x21+ycx21−x20+y1x20−x2c2y0xc−x1+ycx1−x0+y1x0−xc