Expression 10: "y" equals negative "X" "x" plus 1 half left parenthesis, "X" squared plus 1 , right parenthesis Has graph. To audio trace, press ALT+T.y=−Xx+12X2+1
10
E: left parenthesis, StartFraction, left parenthesis, "X" squared plus 1 , right parenthesis Over 2 "X" , EndFraction , 0 , right parenthesisX2+12X,0
Label:
equals=
left parenthesis, 1.4 0 2 8 1 7 4 2 , 0 , right parenthesis1.40281742,0
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F: left parenthesis, 0 , StartFraction, left parenthesis, "X" squared plus 1 , right parenthesis Over 2 , EndFraction , right parenthesis0,X2+12
Label:
equals=
left parenthesis, 0 , 0.5 8 7 7 8 0 5 , right parenthesis0,0.5877805
12
Hidden G: left parenthesis, "a" , StartFraction, left parenthesis, "X" squared minus 2 "a" "X" plus 1 , right parenthesis Over 2 , EndFraction , right parenthesisa,X2−2aX+12
Label:
equals=
left parenthesis, 2 , negative 0.2 5 0 2 1 9 5 , right parenthesis2,−0.2502195
13
P: left parenthesis, "X" , 1 , right parenthesisX,1
Label:
equals=
left parenthesis, 0.4 1 9 , 1 , right parenthesis0.419,1
14
Expression 15: left parenthesis, "t" times StartFraction, left parenthesis, "X" squared plus 1 , right parenthesis Over 2 "X" , EndFraction plus left parenthesis, 1 minus "t" , right parenthesis "X" , left parenthesis, 1 minus "t" , right parenthesis , right parenthesis Has graph.t·X2+12X+1−tX,1−t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
15
Hidden H: left parenthesis, StartFraction, left parenthesis, "X" squared minus 1 , right parenthesis Over 2 "X" , EndFraction , 1 , right parenthesisX2−12X,1
Label:
equals=
left parenthesis, negative 0.9 8 3 8 1 7 4 2 , 1 , right parenthesis−0.98381742,1
16
Expression 17: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "X" , left parenthesis, 1 minus "t" , right parenthesis plus "t" times StartFraction, left parenthesis, "X" squared plus 1 , right parenthesis Over 2 , EndFraction , right parenthesis Has graph.1−tX,1−t+t·X2+12
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
17
Expression 18: left parenthesis, "t" "X" , "t" , right parenthesis Has graph.tX,t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
18
Hidden C' left parenthesis, "a" plus StartFraction, left parenthesis, "X" left parenthesis, "X" squared minus 2 "a" "X" plus 1 , right parenthesis , right parenthesis Over 1 plus "X" squared , EndFraction , StartFraction, left parenthesis, "X" squared minus 2 "a" "X" plus 1 , right parenthesis Over 1 plus "X" squared , EndFraction , right parenthesisa+XX2−2aX+11+X2,X2−2aX+11+X2