compito.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compito di matematica\n",
    "## usi Shift+Enter per andare avanti\n",
    "\n",
    "la funzione di esempio è $f(x)=\\frac{x^2-4}{kx-4}$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "scrivi il valore di k: 1.8\n"
     ]
    }
   ],
   "source": [
    "k= float(input(\"scrivi il valore di k: \"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " il dominio è R diverso da 2.2222222222222223\n"
     ]
    }
   ],
   "source": [
    "if k==0:\n",
    "    print(\"il dominio è R\")\n",
    "else :\n",
    "    d=4/k\n",
    "    print(\" il dominio è R diverso da \"+str(d))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "i punti di intesezione con l'asse delle x sono 2 e -2\n",
    "il punto di intersezione con l'asse delle y è 1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asintoto vericale x=2.2222222222222223\n",
      "asintoto obliquo y=0.5555555555555556x+1.2345679012345678\n"
     ]
    }
   ],
   "source": [
    "m=0\n",
    "q=0\n",
    "if k!=0:\n",
    "    print(\"asintoto vericale x=\"+str(d))\n",
    "    m=1/k\n",
    "    q=4/k**2\n",
    "    print(\"asintoto obliquo y=\"+str(m)+\"x\"+( \"+\" if q>=0 else \"\")+str(q))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAX 1.2535780125465172\n",
      "MIN 3.190866431897927\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "da=k\n",
    "if da ==0:\n",
    "    print(\"MAX :0\")\n",
    "else:\n",
    "    db=-8\n",
    "    dc=4*k\n",
    "    delta=(db**2)-(4*da*dc)\n",
    "    if delta>0:\n",
    "        r1=(-db-math.sqrt(delta))/(2*da)\n",
    "        r2=(-db+math.sqrt(delta))/(2*da)\n",
    "        print(\"MAX \"+str(r1))\n",
    "        print(\"MIN \"+str(r2))\n",
    "    elif delta==0:\n",
    "        r=-db/2*da\n",
    "        print(str(r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.linspace(-5,10,100)\n",
    "#y funzione\n",
    "yf = (x**2-4)/(k*x-4)\n",
    "#y asintoto\n",
    "ya= m*x+q\n",
    "ax = plt.gca()\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.spines['bottom'].set_position('zero')\n",
    "ax.spines['left'].set_position('zero')\n",
    "ax.spines['right'].set_color('none')\n",
    "plt.plot(x,yf,'b')\n",
    "plt.plot(x,ya,'r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}