>
restart:
>
f:=x->sin(1/x);
>
<br>
f := x 7→ sin x
−1Funzione dispari
>
a1:=plot(f(x),x=-1.9..-0.1,thickness=2,discont=true):
>
a2:=plot(f(x),x=0.1..1.9,thickness=2,discont=true):
>
a3:=plot(f(x),x=-3..3,thickness=2,discont=true):
>
a4:=plot(f(x),x=-0.3..0.3,thickness=2,discont=true):
>
a5:=plot(f(x),x=-0.05..0.05,thickness=2,discont=true):
>
plots[display](a1,a2);
>
<br>
0.5
0
-0.5
-1 x
1.5 1
0.5 0
-0.5 -1
-1.5
1
>
plots[display](a3);
<br>
1 0.5
0 -0.5
-1 x
3 2
1 0
-1 -2
-3
>
plots[display](a4);
<br>
1
0.5
0
-0.5
-1 x
0.3 0.2
0.1 0
-0.1 -0.2
plots[display](a5);
0.5
0
-0.5
-1 x
0.04 0.02
0 -0.02
-0.04
>
restart:
>
f:=x->x*sin(1/x);
<br>
f := x 7→ x sin x
−1Funzione pari
>
a1:=plot([x,-x,f(x)],x=-0.3..0.3,thickness=[1,1,2],colour=[black,black,green]):
>
a2:=plot([x,-x,f(x)],x=-0.05..0.05,thickness=[1,1,2],colour=[black,black,green]):
>
plots[display](a1);
<br>
0.3
0.2
0.1
0
-0.1
-0.2
-0.3 x
0.3 0.2
0.1 0
-0.1 -0.2
>
plots[display](a2);
<br>
0.04
0.02
0
-0.02
-0.04 x
0.04 0.02
0 -0.02 -0.04
>
restart:
>
f:=x->sin(x)/x;
<br>
f := x 7→
sin(x)>
a2:=plot(f(x),x=-Pi..Pi,y=0..1,scaling=constrained,thickness=2):
>
a3:=plot(f(x),x=-0.3..0.3,y=0..1,thickness=2,scaling=constrained,thickness=2):
>
plots[display](a1);
<br>
1
0.8
0.6
0.4
0.2
0
-0.2 x
20 10
0 -10
-20
>
plots[display](a2);
<br>
y 0.81 0.60.4 0.20 x
3 2
1 0
-1 -2
-3
>
plots[display](a3);
<br>
y 1
0.8
0.6
0.4
0.2
0 x
0.3 0.2
0.1 0
-0.1 -0.2
>
restart:
>
f:=x->tan(x);
<br>
f := x 7→ tan (x) Funzione dispari
>
plot(f(x),x=-4..4,y=-7..7,thickness=2);
<br>
x
4 2
0 -2
-4
y 6
4
2
0
-2
-4
-6
f:=x->piecewise(x<=0,x,a+x^2);
<br>
f := x 7→ n x x ≤ 0 a + x
2otherwise
>
’f(x)’=f(x);
<br>
f (x) = PIECEWISE [x, x ≤ 0], [a + x
2, otherwise]
>
f1:=subs(a=0,f(x));f2:=subs(a=-0.5,f(x));f3:=subs(a=0.5,f(x));
<br>
f1 := PIECEWISE [x, x ≤ 0], [x
2, otherwise] f2 := PIECEWISE [x, x ≤ 0], [−0.5 + x
2, otherwise] f3 := PIECEWISE [x, x ≤ 0], [0.5 + x
2, otherwise]
>
d1:=plot([f1(x)],x=-1..0,color=[black],thickness=2,discont=true):
<br>
>
d2:=plot([f1(x),f2(x),f3(x)],x=0..1,color=[black,black,black],thickness=2,discont=true):
<br>
>
plots[display](d1,d2);
x
1 0.5
0 -0.5
-1
1.5
1
0.5
0
-0.5
-1
Limiti per x-¿ ∞
>
restart:
>
f:=x->sin(x);
<br>
f := x 7→ sin (x)
Funzione dispari
>
plot(f(x),x=40..80,thickness=2);
<br>
0.510 -0.5-1
x
80 70
60 50
40
>
restart:
>
f:=x->x/(x^2+7);
<br>
f := x 7→
x2x+7Funzione dispari
>
plot(f(x),x=-10..10,thickness=2);
<br>
x
10 5
0 -5
-10
0.15
0.1
0.05 0 -0.05
-0.1
f:=x->x^3/(x+7);
<br>
f := x 7→
x+7x3>
plot(f(x),x=-5..10,thickness=2,discont=true);
<br>
x
10 8 6 4 2 0 -2 -4
-40 60
40
20
0
-20
-60
>
plot(f(x),x=-15..-8.5,thickness=2,discont=true);
<br>
420
400
380
360
340
x
-9 -10 -11
-12 -13
-14 -15
>
plot(f(x),x=-8.5..-5.5,y=-1000..1000,thickness=2);
<br>
y 1000
500
0
-500
-1000 x
-5.5 -6
-6.5 -7
-7.5 -8
-8.5
>
plot(f(x),x=-20..20,y=-500..500,thickness=2);
<br>
y 400
200
0
-200 x
20 10
0 -10
-20
