x

y

Lösung einblenden

Ansatz einblenden

Lösungsweg einblenden

Graph einblenden

m = 2 (slider from -5 to 5, step 0.5)
b = 1 (slider from -5 to 5, step 0.5)
f(x) = (m * x) + b
B1: -2
C1: -1
D1: 0
E1: 1
F1: 2
G1: 3
H1: 4
B2: (m * B1) + b
C2: (m * C1) + b
D2: (m * D1) + b
E2: (m * E1) + b
F2: (m * F1) + b
G2: (m * G1) + b
H2: (m * H1) + b
Text1: "f(x)=" + (LaTeX[f]) + ""
a = Slope(f)
A: (0, f(0))
l1: {A1, A2, B1, B2, C1, C2, D1, D2, E1, E2, F1, F2, G1, G2, H1, H2}
N: Root[f] - (0, 0.15)
n: x(N)
g = Segment((n, -1), (n, 0))
Nullstelle: (n, -1)
c = false
d = false
e = false
h = false
Text3: "\underbrace{" + (LaTeX[f]) + "}_{f(x)}=0"
N2: (((-b)) / m, 0)
r(x) = floor(x) - x
ganz: floor((100 * b / m)) ≟ (100 * b / m)
Text5: "\frac{" + (LaTeX[If[b > 0, "-", ""]]) + "" + (LaTeX[abs(b)]) + "}{" + (LaTeX[m]) + "} " + (LaTeX[If[ganz, "=", "\approx"]]) + " " + (LaTeX[n]) + ""
Text6: "" + (LaTeX[n]) + ""
Text7 = If(m ≟ 0, Text6, Text5)
Text4: "\begin{tabular}{lcll}" + (LaTeX[m]) + "x" + (LaTeX[If[b ≥ 0, "+", ""]]) + "" + (LaTeX[b]) + "&=&0&|" + (LaTeX[If[b ≥ 0, "-", "+"]]) + "" + (LaTeX[abs(b)]) + "\\" + (LaTeX[m]) + "x&=&" + (LaTeX[(-b)]) + "&|:" + (LaTeX[m]) + "\\
x&=&" + (LaTeX[Text7]) + "
\end{tabular}"
Text2: "\text{Nullstelle: } x " + (LaTeX[If[ganz, "=", "\approx"]]) + " " + (LaTeX[n]) + ""