x

x_0

L+ε

L-ε

x_0+δ

x_0-δ

L

x

δ=

ε

f(x)

f(x)=

X = 1.5 (slider from -10 to 10, step 0.01)
L = 4 (slider from -10 to 10, step 0.25)
ε = 1 (slider from 0.1 to 5, step 0.1)
x_0 = 2 (slider from -10 to 10, step 0.25)
C: (x_0, 0)
Y_+: (0, L + ε)
y_+: y = y(Y_+)
Y_-: (0, L - ε)
y_-: y = y(Y_-)
δ = 0.92 (slider from 0.02 to 8, step 0.02)
X_+: (x_0 + δ, 0)
X_-: (x_0 - δ, 0)
x_-: x = x(X_-)
x_+: x = x(X_+)
B_1 = Intersect(x_-, y_+)
C_1 = Intersect(y_-, x_-)
D = Intersect(x_+, y_-)
E = Intersect(y_+, x_+)
B: (0, L)
c: y = y(B)
h(x, y) = x_0 - δ  <  x  <  x_0 + δ ∧ L - ε  <  y  <  L + ε
X_1: (X, 0)
k: x = x(X_1)
j(y) = L - ε  <  y  <  L + ε
i(x) = x_0 - δ  <  x  <  x_0 + δ
e = OrthogonalLine(C, xAxis)
testo5: "" + (δ / ε) + ""
f(x) = If[(x ≤ 4) ∧ (x ≠ 2),x^(2) - (10 * x) + 20]
A = (2, 4)
l = OrthogonalLine(X_1, xAxis)
P = Intersect(f, l, (1.5, 7.25))
O = Point(l)
n = Segment(O, P)
p = OrthogonalLine(P, yAxis)
P_1 = Intersect(p, yAxis)
q = Segment(P_1, P)
T = (-2.5591578459398896, 2.639831569187978)
U = (-1.5991578459398903, 2.619831569187978)
u = Vector(T, U)
testo1: "x=" + X + ""
testo2: "f(x)=" + (y(P_1)) + ""
campoInserimento1 = Textfield(f)