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> f:=x->x^2;
2
f := x -> x
> plot(f(x),x=-3..3);
A + A
AA + AA
A 8 + A
A + A
AA + A
A + A
A + A
A 6 + A
A + A
AA + AA
AA + AA
AAA 4 + AA
AA + AA
A + A
AA + AA
AA + AA
AA 2 + AA
AAA + AAA
AAAA + AAAA
AAAAA + AAAAA
+-+--+-+--+-+--+-+--+-+--+-+--+-***********-+--+-+--+-+--+-+--+-+--+-+--+-+
-3 -2 -1 1 2 3
> plot(exp(-0.2*x)*sin(x),x = 0..8*Pi);
+ AAA + A A + AA A 0.6 A A + A AA +AA A 0.4A A +A AA +A A +A A AA 0.2A A AAAAAA * AA A AA * A A AA AAAAAA *--+--+--*--+--+--*--+--+-+**+--+--+***--+--*****-+-*********************** 0 + AA A AAA AA AAAA + A 5 A 10AAAAA 15 20 25 + A A -0.2 A AA + A AA + AA A -0.4 AAA
> plot(tan(x),x = -Pi/2..Pi/2);
+ A
3e+08 + A
+ A
+ A
2e+08 + A
+ A
+ A
1e+08 + A
+ A
+ A
***************************************************************************
A +
-1.5 -1 -0.5 + 0.5 1 1.5
A -1e+08 +
A +
A +
A -2e+08 +
A +
A +
A -3e+08 +
A +
> plot(tan(x),x = -Pi/2..Pi/2,y=-6..6);
6 + A
+ A
+ A
4 + A
+ A
+ A
+ AAA
2 + AAA
+ AAAAAA
+ AAAAAAAAAA
--+-+-+--+-+-+--+-+-+--+-+--+-+*************+-+--+-+--+-+-+--+-+-+--+-+-+--
-1.5 -1 AA-0.5AAAA 0 + 0.5 1 1.5
AAAAAA +
AAAA -2 +
AAA +
A +
AA +
A -4 +
A +
A +
A -6 +
> plot({sin(x),cos(x)},x=0..2*Pi);
1 *BBB AAAAAAAA BBBBB + BBB AAAA AAAA BBB + BB AA AAA BB + A** AA BB + AA BB AA BBB 0.5 AA BB AA BB + A BB A BB + AA B AA B + AA B AA B +AA BB AA B *-+--+-+-+--+-+-+-**-+--+-+-+--+-+-+***-+-+--+-+-+--+-+**+-+-+--+-+-+--+-+* 0 + B AA BB AA + 1 B 2 3 AA 4 B 5 6A + B AA B AA + BB A BB A -0.5 BB AA BB AA + BBB AA BBB AA + BB A** AAA + BBB BB AAA AAA + BBB BBB AAA AAAA -1+ BBBBBBBBB AAAAAAAA
> plot((x-1)/(x+2), x = -8..6, y=-8..8);
A A +8
A A +
AA A +6
A A +
A A +
AAA A +4
AAAA A +
AAAAAAAA A +2
AAAAAAAAAAAAAAA A +
A + AAAAAAAAAAAAAAAAA
+-+-+-+-+--+-+-+-+-+-+-+-+-+--+-*-+-+-+-+-+-**************-+-+-+--+-+-+-+-+
-8 -6 -4 -2 AAA*0 2 4 6
A AA +
A AA +-2
A AA +
A A +-4
A AA +
A A +
A A +-6
A A +
AAA +-8
> plot((x-1)/(x+2), x = -8..6, y=-8..8, discont=true);
A +8
A +
AA +6
A +
A +
AA +4
AAAA +
AAAAAAAA +2
AAAAAAAAAAAAAAA +
+ AAAAAAAAAAAAAAAAA
+-+-+-+-+--+-+-+-+-+-+-+-+-+--+-+-+-+-+-+-+***************-+-+-+--+-+-+-+-+
-8 -6 -4 -2 AAA*0 2 4 6
AAA +
AA +-2
A +
A +-4
A +
A +
A +-6
A +
A +-8
> plot([[1,-3],[2,-2.5],[3,-1],[4,0],[5,2],[6,4],[7,3.5],[8,1]],style = point,symbol=circle);
4 + A + A + 3 + + + 2 + A + + 1 + A + ++-+-+-+--+-+-+-+-+-+-+-+-+-+-+-*-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--+-+-+- 0 + +1 2 3 4 5 6 7 8 -1+ A + + -2+ + + A -3+A
> l := [[ n, (2*n^2+n-1)/(3*n^2-2*n+1)] $n=1..30];
10 35 77 52 45
l := [[1, 1], [2, 1], [3, --], [4, --], [5, 9/11], [6, --], [7, --], [8, --],
11 41 97 67 59
85 209 14 299 175 135 232
[9, ---], [10, ---], [11, --], [12, ---], [13, ---], [14, ---], [15, ---],
113 281 19 409 241 187 323
527 99 665 370 91 451
[16, ---], [17, ---], [18, ---], [19, ---], [20, ---], [21, ---],
737 139 937 523 129 641
989 180 1175 637 459 742
[22, ----], [23, ---], [24, ----], [25, ---], [26, ---], [27, ----],
1409 257 1681 913 659 1067
1595 95 1829
[28, ----], [29, ---], [30, ----]]
2297 137 2641
> plot(l, x=0..20, style=point,symbol=circle);
1 + A A + + 0.95 + + 0.9 A + + + 0.85 A + + A 0.8 A + + A A 0.75 A + A A + A A A A + A A A A A 0.7+-++-++-++-++-++-++-++-++-++-++-++-+++-++-++-++-++-++-++-++-++-++-++-++-++ 0 2 4 6 8 10 12 14 16 18 20
> plot( [ cos(t/2), sin(t), t=0..4*Pi ] );
AAAAAAAAA 1 + AAAAAAAAA
AAA AAA + AAA AAA
AA AAA + AAA AA
A AAA + AAA A
A AA + AA A
A AA 0.5 + AAA A
A AA + AA A
A AA + AA A
A AA + AA A
A A + A A
-*---+--+---+---+--+---+--+---+--+--***--+--+---+--+---+--+---+--+---+---*-
A A +AA A
-1A -0.5 AA + AA 0.5 A1
A AA + AA A
A AAA + AA A
A AA -0.5 + AAA A
A AA + AA A
A AAA + AA A
AA AAA + AAA AA
AAA AAA + AAA AAA
AAAAAAAAA -1 + AAAAAAAAA
> polarplot( sin(3*theta), theta=0..2*Pi );
> polarplot(theta, theta=0..4*Pi);
> polarplot( [ r-expr, angle-expr, parameter=range ] )
> polarplot( [ sin(t), cos(t), t=0..2*Pi ] );
> polarplot( [ r, sin(3*r), r=0..7 ] );
![[koniec]](pasek.jpg){kind=small}