{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# Zeichnen von Linearen Funktionen"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 1\n",
"![Imgur](https://i.imgur.com/0Ek0t4W.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 2\n",
"Geben sei der Definitionsbereich von x\n",
"\n",
"- Werte die Funktion an den gebenen Stellen aus!\n",
"- Wie lautet der Linke Rand des Definitonsbereiches?\n",
"- Wie lautet der Rechte Rand des Definitionsbreiches?\n",
"- Zeichne die Funktion\n",
"\n",
"Wenn der Definitionsbereich nun $ x\\in[-4,4]$ bzw. $ -4\\leq x \\leq 4$, was ist dann der Wertebereich?\n",
"\n",
"- Wie lautet der linke Rand des Wertebereiches?\n",
"- Wie lautet der rechte Rand des Wertebreiches?\n",
"- Markiere den Definitionsbreich und den Wertebereich\n",
"\n",
"![](https://i.imgur.com/w8mBWSw.png)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
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},
"execution_count": 2,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"f(x)=1/2*x\n",
"plot(f,x)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 3\n",
"Geben sei der Definitionsbereich von x\n",
"\n",
"- Werte die Funktion an den gebenen Stellen aus!\n",
"- Wie lautet der Linke Rand des Definitonsbereiches?\n",
"- Wie lautet der Rechte Rand des Definitionsbreiches?\n",
"- Zeichne die Funktion\n",
"\n",
"Wenn der Definitionsbereich nun $ x\\in[-4,4]$ bzw. $ -4\\leq x \\leq 4$, was ist dann der Wertebereich?\n",
"\n",
"- Wie lautet der linke Rand des Wertebereiches?\n",
"- Wie lautet der rechte Rand des Wertebreiches?\n",
"- Markiere den Definitionsbreich und den Wertebereich\n",
"\n",
"![](https://i.imgur.com/s23fMmY.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 4\n",
"Geben sei der Definitionsbereich von x\n",
"\n",
"- Werte die Funktion an den gebenen Stellen aus!\n",
"- Wie lautet der Linke Rand des Definitonsbereiches?\n",
"- Wie lautet der Rechte Rand des Definitionsbreiches?\n",
"- Zeichne die Funktion\n",
"\n",
"Wenn der Definitionsbereich nun $ x\\in[-2,2]$ bzw. $ -2\\leq x \\leq 2$, was ist dann der Wertebereich?\n",
"\n",
"- Wie lautet der linke Rand des Wertebereiches?\n",
"- Wie lautet der rechte Rand des Wertebreiches?\n",
"- Markiere den Definitionsbreich und den Wertebereich\n",
"\n",
"![](https://i.imgur.com/dQcNj7w.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 5\n",
"Aufgabenstellung ist die gleiche wie in Aufgabe 2, 3 und 4\n",
"\n",
"\n",
"![](https://i.imgur.com/UpEX3A1.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 6\n",
"Erstelle eine Wertetabelle für folgende Funktionen\n",
"\n",
"a) $y=-x$\n",
"\n",
"b) $y=\\frac{3}{2}x$\n",
"\n",
"c) $y=\\frac{-2}{3}x$\n",
"\n",
"d) $y=3x$"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 7\n",
"![](https://i.imgur.com/II5rfeJ.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 8\n",
"![](https://i.imgur.com/XuIT0PG.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 9 (\" Paramter erkennen\")\n",
"Welche Steigung hat die Funktion?\n",
"![](https://i.imgur.com/ddrSDCw.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 10\n",
"Zeichne die Funktionen\n",
"\n",
"![](https://i.imgur.com/cUcfmNI.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 11\n",
"Zeichne die Funktionen\n",
"\n",
"![](https://i.imgur.com/VWouKFC.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 12\n",
"Zeichne die Funktionen\n",
"\n",
"![](https://i.imgur.com/u9llngg.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 13\n",
"Zeichne die Funktionen\n",
"\n",
"![](https://i.imgur.com/9oekOFq.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 14\n",
"- Zeichne die Funktionen\n",
"- Erstelle eine Wertetabelle\n",
"- Gib die Paramter an, m und b\n",
"\n",
"![](https://i.imgur.com/VKMFTqs.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 15\n",
"![](https://i.imgur.com/qyzsLHv.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 16\n",
"![](https://i.imgur.com/ionLciV.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Aufgabe 17\n",
"\n",
"![](https://i.imgur.com/FzxmmuX.png)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath (stable)",
"language": "sagemath",
"metadata": {
"cocalc": {
"description": "Open-source mathematical software system",
"priority": 10,
"url": "https://www.sagemath.org/"
}
},
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.15"
}
},
"nbformat": 4,
"nbformat_minor": 0
}