Função_Afim_ou_1º_grau.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOrcZ89Vnie9eb3inXQw7EP",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/andrejuniorba/Matematica_codigos/blob/main/Fun%C3%A7%C3%A3o_Afim_ou_1%C2%BA_grau.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **FUNÇÃO AFIM (1º GRAU)**\n",
        "\n",
        "## **f(x) = ax + b**"
      ],
      "metadata": {
        "id": "TkcvgKl0mXEx"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "AgK30OfphZBJ"
      },
      "outputs": [],
      "source": [
        "from sympy import *\n",
        "from sympy.plotting import *\n",
        "#matplotlib inline\n",
        "\n",
        "x = Symbol('x')"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def funcao_afim(a,b):\n",
        "  y = a*x + b\n",
        "  r = -b/a\n",
        "\n",
        "  if a < 0:\n",
        "    print('É uma função decrescente.')\n",
        "  else:\n",
        "    print('É uma função crescente.')\n",
        "\n",
        "   \n",
        "  print(f'A raíz da função f(x) = {a}x + {b} é {r:.1f}')\n",
        "\n",
        "  plot(y, xlim=[-5,5], ylim=[-5,5], title = 'Função Afim', xlabel = 'X', ylabel = 'Y')\n"
      ],
      "metadata": {
        "id": "rjHjoL1tAkuF"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a = float(input('Coeficiente a = '))\n",
        "  \n",
        "if a == 0:\n",
        "  print('Não é Função AFIM.')\n",
        "else:  \n",
        "  b = float(input('Coeficiente b = '))\n",
        "\n",
        "  funcao_afim(a,b)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        },
        "id": "9ZLCwmOZzTLd",
        "outputId": "fec9c826-b79e-405c-c0d2-511a9f440f97"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Coeficiente a = 5\n",
            "Coeficiente b = 8\n",
            "É uma função crescente.\n",
            "A raíz da função f(x) = 5.0x + 8.0 é -1.6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}