x

f( x )

Los puntos A, B, C, D, E y F permiren modificar
la gráfica de la función.

Para mover el punto M.

F_2 = (12.966059739534886, 6.455961103875969)
C_2 = (30.643671237209308, -3.9754222573643427)
B_2 = (30.683485677519386, 5.0226412527131785)
A_2 = (13, 5)
J_2 = Midpoint(F_2, A_2)
Q_2 = Midpoint(J_2, A_2)
Z_1 = (13, -4)
poly1, z_1, a_2, b_2, c_2 = Polygon(Z_1, A_2, B_2, C_2)
t = -8 (slider from -8 to 8, step 0.1)
F = (7.989254700775196, 9.99944629147287)
E = (6.7477680620155045, 1.794052093023255)
D = (2, 2)
C = (-0.9291799286821699, -1.5865558387596912)
B = (-5.030067280620155, 0.8819394604651154)
A = (-7.976335863565892, -5.966144272868219)
f = Polynomial({A, B, C, D, E, F})
g = Function(f, x(A), x(F))
H, I, J, K = Extremum(f)
G = Intersect(xAxis, yAxis)
L = (21.964123249612406, -0.15323598759690024)
u = Vector(G, L)
B' = Translate(B, u)
d = Line(H, yAxis)
e = Line(I, yAxis)
h = Line(J, yAxis)
i = Line(K, yAxis)
j = Line(F, e)
k = Line(A, e)
M_1 = Intersect(xAxis, d)
N = Intersect(k, xAxis)
O = Intersect(xAxis, h)
P = Intersect(i, xAxis)
Q = Intersect(e, xAxis)
R = Intersect(j, xAxis)
l = Segment(N, A)
m = Segment(H, M_1)
n = Segment(I, Q)
p = Segment(J, O)
q = Segment(K, P)
r = Segment(F, R)
M: (t, g(t))
Zoom = 0.37 (slider from 0.2 to 0.5, step 0.01)
f2(x) = (Zoom * g(x))
S = Intersect(f2, l)
T = Intersect(f2, m)
U = Intersect(f2, n)
V = Intersect(f2, p)
W = Intersect(f2, q)
Z = Intersect(f2, r)
S' = Translate(S, u)
T' = Translate(T, u)
U' = Translate(U, u)
V' = Translate(V, u)
W' = Translate(W, u)
Z' = Translate(Z, u)
a = Line(M, r)
A_1 = Intersect(f2, a)
B_1 = Translate(A_1, u)
c = Circle(T', Zoom)
s = Circle(U', Zoom)
c_1 = Circle(V', Zoom)
d_1 = Circle(W', Zoom)
e_1 = Circle(Z', Zoom)
f_1 = Circle(S', Zoom)
b = Line(S', T')
b_1 = Line(T', U')
g_1 = Line(U', V')
h_1 = Line(V', W')
i_1 = Line(W', Z')
C_1, D_1 = Intersect(f_1, b)
E_1, F_1 = Intersect(c, b)
G_1, H_1 = Intersect(c, b_1)
I_1, J_1 = Intersect(s, b_1)
K_1, L_1 = Intersect(s, g_1)
v = Vector(D_1, E_1)
w = Vector(H_1, I_1)
N_1, O_1 = Intersect(c_1, h_1)
P_1, Q_1 = Intersect(c_1, g_1)
R_1, S_1 = Intersect(d_1, i_1)
T_1, U_1 = Intersect(d_1, h_1)
V_1, W_1 = Intersect(e_1, i_1)
z = Vector(S_1, V_1)
u_1 = Vector(O_1, T_1)
v_1 = Vector(L_1, P_1)
D_2 = (11, 5)
E_2 = (11, -4)
poly2, d_2, a_1, z_2, e_2 = Polygon(D_2, A_2, Z_1, E_2)
G_2 = (30.643671237209308, 6.4957755441860465)
poly3, f_2, a_3, b_3, g_2 = Polygon(F_2, A_2, B_2, G_2)
j_1 = Line(T', r)
k_1 = Line(U', r)
l_1 = Line(V', r)
m_1 = Line(B_1, r)
n_1 = Line(S', r)
H_2 = Intersect(a_2, a_3)
I_2 = Intersect(a_2, a_3)
p_1 = Line(A_2, a_2)
K_2 = Intersect(n_1, p_1)
L_2 = Intersect(j_1, p_1)
M_2 = Intersect(k_1, p_1)
N_2 = Intersect(l_1, p_1)
text3: "" + (x(H))
text4: "" + (x(A))
text5: "" + (x(I))
text6: "" + (x(J))
text7: "" + (x(K))
text8: "" + (x(F))
q_1 = Line(W', r)
P_2 = Intersect(q_1, p_1)
r_1 = Segment(M_2, U')
s_1 = Segment(L_2, T')
t_1 = Segment(P_2, W')
h_2 = Segment(N_2, V')
i_2 = Segment(K_2, S')
T_2 = Midpoint(Q_2, A_2)
k_2 = Line(Z', r)
O_2 = Intersect(k_2, a_2)
j_2 = Segment(O_2, Z')
S_2 = (10.97533772403101, 6.455961103875969)
poly4, f_3, s_2, d_3, a_4 = Polygon(F_2, S_2, D_2, A_2)
R_2 = (-9.887428998449613, 12.069797187596901)
U_2 = (10.855894403100777, 12.109611627906977)
V_2 = (10.935523283720933, -11.73923811782946)
W_2 = (-9.847614558139536, -11.73923811782946)
poly5, r_2, u_2, v_2, w_2 = Polygon(R_2, U_2, V_2, W_2)
text11: "" + (y(A))
text12: "" + (y(H))
text13: "" + (y(I))
text14: "" + (y(J))
text15: "" + (y(K))
text16: "" + (y(F))
text17: "g(x) = " + g