{"id":19832,"date":"2022-06-10T01:03:34","date_gmt":"2022-06-10T01:03:34","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4155"},"modified":"2022-06-10T01:03:34","modified_gmt":"2022-06-10T01:03:34","slug":"functions","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/functions\/","title":{"rendered":"Functions"},"content":{"rendered":"\n

Functions in calculus represent the relationship between two variables, which are the independent variable and the dependent variable. Let\u2019s consider the following diagram.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"diagram<\/figure>\n\n\n\n
\"formula<\/figure>\n\n\n\n

There is an INPUT, a black box, and an OUTPUT. For example, suppose we want to make a pizza. We would need the following basic ingredients.<\/p>\n\n\n\n

  • Pizza Base<\/li>
  • Pizza Sauce<\/li>
  • Cheese<\/li>
  • Seasoning<\/li><\/ul>\n\n\n\n

    The above real-life example can be represented in the form of a function as explained below,<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    The taste of our pizza depends on the quality of the ingredients. Let\u2019s take another example<\/p>\n\n\n\n

    Suppose that: y = x2<\/sup><\/p>\n\n\n\n

    Value of x<\/strong><\/td>Value of y<\/strong><\/td><\/tr>
    1<\/td>1<\/td><\/tr>
    2<\/td>4<\/td><\/tr>
    9<\/td>81<\/td><\/tr>
    11<\/td>121<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Using the diagram given above, we get:<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    We can see that the value of y depends<\/strong> on the value of x. We can conclude that<\/p>\n\n\n\n

    • INPUT is independent of the OUTPUT<\/li>
    • OUTPUT depends on the INPUT<\/li>
    • Black Box is responsible for the transformation of the INPUT to the OUTPUT<\/li><\/ul>\n\n\n\n

      In calculus,<\/p>\n\n\n\n

      • INPUT is an independent variable<\/li>
      • OUTPUT is a dependent variable<\/li>
      • Black Box is a function<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"

        Functions in calculus represent the relationship between two variables, which are the independent variable and the dependent variable. Let\u2019s consider the following diagram. There is an INPUT, a black box, and an OUTPUT. For example, suppose we want to make a pizza. We would need the following basic ingredients. Pizza Base Pizza Sauce Cheese Seasoning […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[760],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19832"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=19832"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19832\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=19832"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=19832"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=19832"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}