Expression 7: "y" Subscript, 1 , Baseline tilde "a" "x" to the 8th power plus "b" "x" to the 7th power plus "c" "x" to the 6th power plus "d" "x" to the 5th power plus "f" "x" to the 4th power plus "g" "x" cubed plus "h" "x" squared plus "i" "x" Subscript, 1 , Baseline plus "j"y1~ax81+bx71+cx61+dx51+fx41+gx31+hx21+ix1+j
7
Expression 8: "y" Subscript, 1 , Baseline tilde "a" "x" to the 10th power plus "b" "x" to the 9th power plus "c" "x" to the 8th power plus "d" "x" to the 7th power plus "f" "x" to the 6th power plus "g" "x" to the 5th power plus "h" "x" to the 4th power plus "i" "x" cubed plus "j" "x" squared plus "k" "x" Subscript, 1 , Baseline plus "l"y1~ax101+bx91+cx81+dx71+fx61+gx51+hx41+ix31+jx21+kx1+l
8
Expression 9: "y" Subscript, 1 , Baseline tilde "a" "x" to the 12th power plus "b" "x" to the 11th power plus "c" "x" to the 10th power plus "d" "x" to the 9th power plus "f" "x" to the 8th power plus "g" "x" to the 7th power plus "h" "x" to the 6th power plus "i" "x" to the 5th power plus "j" "x" to the 4th power plus "k" "x" cubed plus "l" "x" squared plus "m" "x" Subscript, 1 , Baseline plus "n"y1~ax121+bx111+cx101+dx91+fx81+gx71+hx61+ix51+jx41+kx31+lx21+mx1+n
9
Expression 10: "y" Subscript, 1 , Baseline tilde "a" "x" to the 14th power plus "b" "x" to the 13th power plus "c" "x" to the 12th power plus "d" "x" to the 11th power plus "f" "x" to the 10th power plus "g" "x" to the 9th power plus "h" "x" to the 8th power plus "i" "x" to the 7th power plus "j" "x" to the 6th power plus "k" "x" to the 5th power plus "l" "x" to the 4th power plus "m" "x" cubed plus "n" "x" squared plus "o" "x" Subscript, 1 , Baseline plus "p"y1~ax141+bx131+cx121+dx111+fx101+gx91+hx81+ix71+jx61+kx51+lx41+mx31+nx21+ox1+p
10
Here, with a degree-16 polynomial, we hit Desmos' computational limits.
11
Expression 12: "y" Subscript, 1 , Baseline tilde "a" "x" to the 16th power plus "b" "x" to the 15th power plus "c" "x" to the 14th power plus "d" "x" to the 13th power plus "e" "x" to the 12th power plus "f" "x" to the 11th power plus "g" "x" to the 10th power plus "h" "x" to the 9th power plus "i" "x" to the 8th power plus "j" "x" to the 7th power plus "k" "x" to the 6th power plus "l" "x" to the 5th power plus "m" "x" to the 4th power plus "n" "x" cubed plus "o" "x" squared plus "p" "x" Subscript, 1 , Baseline plus "q"y1~ax161+bx151+cx141+dx131+ex121+fx111+gx101+hx91+ix81+jx71+kx61+lx51+mx41+nx31+ox21+px1+q