{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
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  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Sección 4.1\n",
        "Vamos a calcular el dominio y rango de dos funciónes con sympy"
      ],
      "metadata": {
        "id": "kO2LzTWA1K_G"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "R6mMJhFx7EMA",
        "outputId": "4a4f7ba2-ddc2-4f89-cee5-bcbf4fed83db"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Dominio f: Reals\n",
            "Rango f:   Interval(-oo, oo)\n",
            "Dominio g: Interval(3, oo)\n",
            "Rango g:   Interval(0, oo)\n"
          ]
        }
      ],
      "source": [
        "#from sympy import Symbol, S, sqrt\n",
        "from sympy.calculus.util import continuous_domain, function_range\n",
        "import sympy as sym\n",
        "\n",
        "# 1. Definimos la variable y las funciones\n",
        "x = sym.Symbol('x')\n",
        "f = x - 3\n",
        "g = sym.sqrt(x - 3)\n",
        "\n",
        "# 2. Calculamos el Dominio (dentro de los números Reales)\n",
        "dom_f = continuous_domain(f, x, sym.S.Reals)\n",
        "dom_g = continuous_domain(g, x, sym.S.Reals)\n",
        "\n",
        "# 3. Calculamos el Rango\n",
        "rango_f = function_range(f, x, sym.S.Reals)\n",
        "rango_g = function_range(g, x, sym.S.Reals)\n",
        "\n",
        "print(f\"Dominio f: {dom_f}\")\n",
        "print(f\"Rango f:   {rango_f}\")\n",
        "print(f\"Dominio g: {dom_g}\")\n",
        "print(f\"Rango g:   {rango_g}\")"
      ]
    }
  ]
}