lehrkraefte:blc:miniaufgaben:kw23-2022 [https://fginfo.ksbg.ch Fachgruppe Informatik der KSBG]

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<PRELOAD>
  miniaufgabe.js
  d3.min.js
  function-plot.js
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==== 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:<JS>miniAufgabe("#exofunktionenanwenden1","#solfunktionenanwenden1",
[["$c(2)$, $\\quad a(b(0))$, $\\quad a(c(d(2)))$", "$c(2) = 3$, $\\quad a(b(0)) = a(1) = 4$, $\\quad a(c(d(2))) = a(c(-4)) = a(-3) = 4$"], ["$a(3)$, $\\quad d(b(1))$, $\\quad d(a(c(1)))$", "$a(3) = 16$, $\\quad d(b(1)) = d(2) = -4$, $\\quad d(a(c(1))) = d(a(2)) = d(9) = -18$"], ["$c(-2)$, $\\quad d(a(2))$, $\\quad d(b(c(2)))$", "$c(-2) = -1$, $\\quad d(a(2)) = d(9) = -18$, $\\quad d(b(c(2))) = d(b(3)) = d(10) = -20$"], ["$c(3)$, $\\quad a(b(1))$, $\\quad d(a(b(-1)))$", "$c(3) = 4$, $\\quad a(b(1)) = a(2) = 9$, $\\quad d(a(b(-1))) = d(a(2)) = d(9) = -18$"], ["$d(-2)$, $\\quad b(a(1))$, $\\quad a(d(b(2)))$", "$d(-2) = 4$, $\\quad b(a(1)) = b(4) = 17$, $\\quad a(d(b(2))) = a(d(5)) = a(-10) = 81$"], ["$c(-2)$, $\\quad c(b(1))$, $\\quad c(d(b(-2)))$", "$c(-2) = -1$, $\\quad c(b(1)) = c(2) = 3$, $\\quad c(d(b(-2))) = c(d(5)) = c(-10) = -9$"], ["$c(3)$, $\\quad a(b(-3))$, $\\quad b(d(a(-2)))$", "$c(3) = 4$, $\\quad a(b(-3)) = a(10) = 121$, $\\quad b(d(a(-2))) = b(d(1)) = b(-2) = 5$"], ["$a(-1)$, $\\quad a(d(3))$, $\\quad d(c(b(-3)))$", "$a(-1) = 0$, $\\quad a(d(3)) = a(-6) = 25$, $\\quad d(c(b(-3))) = d(c(10)) = d(11) = -22$"], ["$c(-3)$, $\\quad d(b(3))$, $\\quad a(c(b(2)))$", "$c(-3) = -2$, $\\quad d(b(3)) = d(10) = -20$, $\\quad a(c(b(2))) = a(c(5)) = a(6) = 49$"], ["$a(0)$, $\\quad c(d(1))$, $\\quad d(c(a(3)))$", "$a(0) = 1$, $\\quad c(d(1)) = c(-2) = -1$, $\\quad d(c(a(3))) = d(c(16)) = d(17) = -34$"]],
" <hr> ", " <hr> ");
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<HTML>
<div id="exofunktionenanwenden1"></div>

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<hidden Lösungen>
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<div id="solfunktionenanwenden1"></div>
<div style='font-size:12px;color:gray;'>ruby funktionen-anwenden.rb 1</div>
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=== Freitag 10. Juni 2022 ===
Zeichnen Sie den Graphen der Funktion $f$ in einem sinnvollen Bereich. Beschriften Sie die Achsen!<JS>miniAufgabe("#exofunktionsgraphenzeichnen1","#solfunktionsgraphenzeichnen1",
[["$f(x)=(x-2)^2$", "$f(x)=(x-2)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen10' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen10\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[0,4]},\"data\":[{\"fn\":\"(x-2)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2-2$", "$f(x)=x^2-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen11' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen11\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-2,2]},\"data\":[{\"fn\":\"x^2-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x-2}$", "$f(x)=\\sqrt{x-2}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen12' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen12\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[2,6]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"sqrt(x-2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}-2$", "$f(x)=\\sqrt{x}-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen13' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen13\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[-2,0]},\"data\":[{\"fn\":\"sqrt(x)-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x-2|$", "$f(x)=|x-2|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen14' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen14\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"abs(x-2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|-2$", "$f(x)=|x|-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen15' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen15\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-2,0]},\"data\":[{\"fn\":\"abs(x)-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x-2$", "$f(x)=x-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen16' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen16\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-6,2]},\"data\":[{\"fn\":\"x-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x-1)^2$", "$f(x)=(x-1)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen17' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen17\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,3]},\"yAxis\":{\"domain\":[0,4]},\"data\":[{\"fn\":\"(x-1)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2-1$", "$f(x)=x^2-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen18' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen18\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-1,3]},\"data\":[{\"fn\":\"x^2-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x-1}$", "$f(x)=\\sqrt{x-1}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen19' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen19\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[1,5]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"sqrt(x-1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}-1$", "$f(x)=\\sqrt{x}-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen110' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen110\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[-1,1]},\"data\":[{\"fn\":\"sqrt(x)-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x-1|$", "$f(x)=|x-1|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen111' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen111\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,3]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"abs(x-1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|-1$", "$f(x)=|x|-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen112' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen112\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-1,1]},\"data\":[{\"fn\":\"abs(x)-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x-1$", "$f(x)=x-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen113' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen113\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-5,3]},\"data\":[{\"fn\":\"x-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x+1)^2$", "$f(x)=(x+1)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen114' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen114\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,1]},\"yAxis\":{\"domain\":[0,4]},\"data\":[{\"fn\":\"(x+1)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2+1$", "$f(x)=x^2+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen115' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen115\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[1,5]},\"data\":[{\"fn\":\"x^2+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x+1}$", "$f(x)=\\sqrt{x+1}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen116' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen116\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,3]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"sqrt(x+1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}+1$", "$f(x)=\\sqrt{x}+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen117' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen117\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[1,3]},\"data\":[{\"fn\":\"sqrt(x)+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x+1|$", "$f(x)=|x+1|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen118' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen118\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,1]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"abs(x+1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|+1$", "$f(x)=|x|+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen119' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen119\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[1,3]},\"data\":[{\"fn\":\"abs(x)+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x+1$", "$f(x)=x+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen120' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen120\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-3,5]},\"data\":[{\"fn\":\"x+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x+2)^2$", "$f(x)=(x+2)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen121' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen121\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,0]},\"yAxis\":{\"domain\":[0,4]},\"data\":[{\"fn\":\"(x+2)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2+2$", "$f(x)=x^2+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen122' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen122\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[2,6]},\"data\":[{\"fn\":\"x^2+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x+2}$", "$f(x)=\\sqrt{x+2}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen123' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen123\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"sqrt(x+2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}+2$", "$f(x)=\\sqrt{x}+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen124' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen124\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[0,4]},\"yAxis\":{\"domain\":[2,4]},\"data\":[{\"fn\":\"sqrt(x)+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x+2|$", "$f(x)=|x+2|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen125' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen125\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,0]},\"yAxis\":{\"domain\":[0,2]},\"data\":[{\"fn\":\"abs(x+2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|+2$", "$f(x)=|x|+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen126' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen126\",\"width\":400,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[2,4]},\"data\":[{\"fn\":\"abs(x)+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x+2$", "$f(x)=x+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen127' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen127\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-2,6]},\"data\":[{\"fn\":\"x+2\",\"stroke-width\":\"2px\"}]}'></span>"]],
" <hr> ", " <hr> ");
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<div id="exofunktionsgraphenzeichnen1"></div>

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<div id="solfunktionsgraphenzeichnen1"></div>
<div style='font-size:12px;color:gray;'>ruby funktionsgraphen-zeichnen.rb 1</div>
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