miniaufgabe.js
d3.min.js
function-plot.js
==== 6. Juni 2022 bis 10. Juni 2022 ====
=== Donnerstag 9. Juni 2022 ===
Gegeben sind die Funktionen
$a(x)=(x+1)^2$, $\quad$ $b(x)=x^2+1$, $\quad$ $c(x)=x+1$, $\quad$ $d(x)=-2x$.
Berechnen Sie:miniAufgabe("#exofunktionenanwenden1","#solfunktionenanwenden1",
[["$c(2)$, $\\quad a(b(0))$, $\\quad a(c(d(2)))$", "$c(2) = 3$, $\\quad a(b(0)) = a(1) = 4$, $\\quad a(c(d(2))) = a(c(-4)) = a(-3) = 4$"], ["$a(3)$, $\\quad d(b(1))$, $\\quad d(a(c(1)))$", "$a(3) = 16$, $\\quad d(b(1)) = d(2) = -4$, $\\quad d(a(c(1))) = d(a(2)) = d(9) = -18$"], ["$c(-2)$, $\\quad d(a(2))$, $\\quad d(b(c(2)))$", "$c(-2) = -1$, $\\quad d(a(2)) = d(9) = -18$, $\\quad d(b(c(2))) = d(b(3)) = d(10) = -20$"], ["$c(3)$, $\\quad a(b(1))$, $\\quad d(a(b(-1)))$", "$c(3) = 4$, $\\quad a(b(1)) = a(2) = 9$, $\\quad d(a(b(-1))) = d(a(2)) = d(9) = -18$"], ["$d(-2)$, $\\quad b(a(1))$, $\\quad a(d(b(2)))$", "$d(-2) = 4$, $\\quad b(a(1)) = b(4) = 17$, $\\quad a(d(b(2))) = a(d(5)) = a(-10) = 81$"], ["$c(-2)$, $\\quad c(b(1))$, $\\quad c(d(b(-2)))$", "$c(-2) = -1$, $\\quad c(b(1)) = c(2) = 3$, $\\quad c(d(b(-2))) = c(d(5)) = c(-10) = -9$"], ["$c(3)$, $\\quad a(b(-3))$, $\\quad b(d(a(-2)))$", "$c(3) = 4$, $\\quad a(b(-3)) = a(10) = 121$, $\\quad b(d(a(-2))) = b(d(1)) = b(-2) = 5$"], ["$a(-1)$, $\\quad a(d(3))$, $\\quad d(c(b(-3)))$", "$a(-1) = 0$, $\\quad a(d(3)) = a(-6) = 25$, $\\quad d(c(b(-3))) = d(c(10)) = d(11) = -22$"], ["$c(-3)$, $\\quad d(b(3))$, $\\quad a(c(b(2)))$", "$c(-3) = -2$, $\\quad d(b(3)) = d(10) = -20$, $\\quad a(c(b(2))) = a(c(5)) = a(6) = 49$"], ["$a(0)$, $\\quad c(d(1))$, $\\quad d(c(a(3)))$", "$a(0) = 1$, $\\quad c(d(1)) = c(-2) = -1$, $\\quad d(c(a(3))) = d(c(16)) = d(17) = -34$"]],
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ruby funktionen-anwenden.rb 1
=== Freitag 10. Juni 2022 ===
Zeichnen Sie den Graphen der Funktion $f$ in einem sinnvollen Bereich. Beschriften Sie die Achsen!miniAufgabe("#exofunktionsgraphenzeichnen1","#solfunktionsgraphenzeichnen1",
[["$f(x)=(x-2)^2$", "$f(x)=(x-2)^2$"], ["$f(x)=x^2-2$", "$f(x)=x^2-2$"], ["$f(x)=\\sqrt{x-2}$", "$f(x)=\\sqrt{x-2}$"], ["$f(x)=\\sqrt{x}-2$", "$f(x)=\\sqrt{x}-2$"], ["$f(x)=|x-2|$", "$f(x)=|x-2|$"], ["$f(x)=|x|-2$", "$f(x)=|x|-2$"], ["$f(x)=x-2$", "$f(x)=x-2$"], ["$f(x)=(x-1)^2$", "$f(x)=(x-1)^2$"], ["$f(x)=x^2-1$", "$f(x)=x^2-1$"], ["$f(x)=\\sqrt{x-1}$", "$f(x)=\\sqrt{x-1}$"], ["$f(x)=\\sqrt{x}-1$", "$f(x)=\\sqrt{x}-1$"], ["$f(x)=|x-1|$", "$f(x)=|x-1|$"], ["$f(x)=|x|-1$", "$f(x)=|x|-1$"], ["$f(x)=x-1$", "$f(x)=x-1$"], ["$f(x)=(x+1)^2$", "$f(x)=(x+1)^2$"], ["$f(x)=x^2+1$", "$f(x)=x^2+1$"], ["$f(x)=\\sqrt{x+1}$", "$f(x)=\\sqrt{x+1}$"], ["$f(x)=\\sqrt{x}+1$", "$f(x)=\\sqrt{x}+1$"], ["$f(x)=|x+1|$", "$f(x)=|x+1|$"], ["$f(x)=|x|+1$", "$f(x)=|x|+1$"], ["$f(x)=x+1$", "$f(x)=x+1$"], ["$f(x)=(x+2)^2$", "$f(x)=(x+2)^2$"], ["$f(x)=x^2+2$", "$f(x)=x^2+2$"], ["$f(x)=\\sqrt{x+2}$", "$f(x)=\\sqrt{x+2}$"], ["$f(x)=\\sqrt{x}+2$", "$f(x)=\\sqrt{x}+2$"], ["$f(x)=|x+2|$", "$f(x)=|x+2|$"], ["$f(x)=|x|+2$", "$f(x)=|x|+2$"], ["$f(x)=x+2$", "$f(x)=x+2$"]],
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ruby funktionsgraphen-zeichnen.rb 1