x

y=f(x)

2

3

\begin{align}f:[2,3[&\to \mathbb{R}\ x&\mapsto 2x-3\end{align}

\mathrm{Im} (f)=[1,3[

Ensemble Image

1

3

f(x) = (2 * x) - 3
a = 2 (slider from -5 to 5, step 1)
b = 3 (slider from -5 to 5, step 1)
F(x) = If[a ≤ x ≤ b, f(x)]
X = Point(xAxis)
P: (x(X), f(x(X)))
Y: (0, y(P))
h = Segment(X, P)
A: (a, 0)
B: (b, 0)
P1: (x(A), f(x(A)))
P2: (x(B), f(x(B)))
i = Segment(P1, A)
j = Segment(P2, B)
u = Vector(P, Y)
Curve(x) = NaN
C = Intersect(F, j, (3, 3))
YA: (0, f(x(A)))
YB: (0, f(x(B)))
g = Segment(YA, P1)
k = Segment(YB, C)