This function looked like a mountain so I plopped a lil sun in da middle :D.
Expression 4: polygon left parenthesis, pi StartRoot, 2 , EndRoot left parenthesis, "g" left parenthesis, 1 eighth , right parenthesis . "y" "g" left parenthesis, StartFraction, left bracket, 0...3 , right bracket Over 4 , EndFraction , right parenthesis . "x" plus "g" left parenthesis, 1 eighth , right parenthesis . "x" "g" left parenthesis, StartFraction, left bracket, 0...3 , right bracket Over 4 , EndFraction , right parenthesis . "y" , "g" left parenthesis, 1 eighth , right parenthesis . "x" "g" left parenthesis, StartFraction, left bracket, 0...3 , right bracket Over 4 , EndFraction , right parenthesis . "x" minus "g" left parenthesis, 1 eighth , right parenthesis . "y" "g" left parenthesis, StartFraction, left bracket, 0...3 , right bracket Over 4 , EndFraction , right parenthesis . "y" , right parenthesis , right parenthesispolygonπ2g18.yg0...34.x+g18.xg0...34.y,g18.xg0...34.x−g18.yg0...34.y
4
Expression 5: StartRoot, 2 , EndRoot "g" left parenthesis, "t" , right parenthesis plus StartRoot, 2 , EndRoot "g" left parenthesis, 1 quarter , right parenthesis2gt+2g14
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
5
Expression 6: left bracket, negative "f" left parenthesis, "t" , right parenthesis , "f" left parenthesis, "t" , right parenthesis , left parenthesis, negative "f" left parenthesis, "t" , right parenthesis . "x" , "f" left parenthesis, "t" , right parenthesis . "y" , right parenthesis , left parenthesis, "f" left parenthesis, "t" , right parenthesis . "x" , negative "f" left parenthesis, "t" , right parenthesis . "y" , right parenthesis , right bracket−ft,ft,−ft.x,ft.y,ft.x,−ft.y
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
6
Expression 7: left parenthesis, pi left parenthesis, mod left parenthesis, floor left parenthesis, "T" , right parenthesis , 2 , right parenthesis , right parenthesis plus left parenthesis, 1 minus 2mod left parenthesis, floor left parenthesis, "T" , right parenthesis , 2 , right parenthesis , right parenthesis "f" left parenthesis, mod left parenthesis, "T" , 1 , right parenthesis , right parenthesis . "x" , "f" left parenthesis, mod left parenthesis, "T" , 1 , right parenthesis , right parenthesis . "y" , right parenthesis plus left parenthesis, pi floor left parenthesis, "T" , right parenthesis , 0 , right parenthesis with "T" equals StartFraction, "t" Over StartRoot, 1 minus "t" squared , EndRoot , EndFractionπmodfloorT,2+1−2modfloorT,2fmodT,1.x,fmodT,1.y+πfloorT,0withT=t1−t2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
7
Expression 8: "x" squared plus left parenthesis, "y" minus 1.5 , right parenthesis squared equals 2 left brace, "y" greater than or equal to 1.6 5 1 , right bracex2+y−1.52=2y≥1.651