{ "cells": [ { "cell_type": "code", "execution_count": 3, "id": "5d47aa17-9cde-4b6c-8ac7-ef883ff9702f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "id": "b283c23c-32b4-4eb7-9689-1647456de783", "metadata": {}, "outputs": [], "source": [ "def f(x):\n", " return x*np.sin(x**2)\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "e4bbfa05-3d72-418f-b031-7ee9361ae265", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-10, 10, 0.1)\n", "y = f(x)\n", "plt.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 15, "id": "67935f5e-a80a-4227-a791-31d086715b26", "metadata": {}, "outputs": [], "source": [ "def g(x):\n", " return x*np.tan(x**2)" ] }, { "cell_type": "code", "execution_count": 19, "id": "bebda7e8-d51e-47bc-8e43-becd7678266b", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-1, 1, 0.0001)\n", "y = g(x)\n", "plt.plot(x,y)\n" ] }, { "cell_type": "code", "execution_count": 20, "id": "2d5cc433-d379-409e-ad0d-3198924438dc", "metadata": {}, "outputs": [], "source": [ "def h(x):\n", " return 1/(x**2+1)" ] }, { "cell_type": "code", "execution_count": 25, "id": "d1571682-d375-48ff-9d1b-353d4c2cd955", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange (-5, 5, 0.1)\n", "y = h(x)\n", "plt.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 22, "id": "d21ed9ef-51c9-4484-9033-fbcc4c70151f", "metadata": {}, "outputs": [], "source": [ "def n(x):\n", " return 1/np.sqrt(2*np.pi)*np.exp(-x**2/2)\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "fc13cc99-5670-4a24-9c87-b17da9cc2f61", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange (-5,5,0.1)\n", "y = n(x)\n", "plt.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 31, "id": "790f935d-f36c-492c-a787-64f835f95116", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(figsize=(10,6))\n", "ax.plot(x,h(x))\n", "ax.plot(x,n(x))" ] }, { "cell_type": "markdown", "id": "c40d7a91-bacf-4470-ba3e-080378923606", "metadata": {}, "source": [ "# Graphing Function" ] }, { "cell_type": "code", "execution_count": null, "id": "4a750a94-e153-4006-b2a4-1bd83f57d960", "metadata": {}, "outputs": [], "source": [ "def graph(f, a=-5, b=5, n=100):\n", " x = np.arange (a, b, (b-a)/n)\n", " y = f(x)\n", " fig,ax = plt.subplots(figsize=(10,6))\n", " ax.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 55, "id": "b0cb340f-686f-4acb-9db6-0a5b607ccac3", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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", 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", 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", 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