{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='What Is A Function | Algebra | Maths | FuseSchool' data-url='/boclips/videos/625f6f976a498326b040335e' data-video-url='/boclips/videos/625f6f976a498326b040335e' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nWhat Is A Function | Algebra | Maths | FuseSchool\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356011\" href=\"/search?publisher_ids%5B%5D=30356011\"\u003eCurated Video\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eA function is an operation, or series of operations, that transforms a set of numbers into a different set. We put our input into the function, operations are performed on it, and a different number is outputted. If we have this function...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eA function is an operation, or series of operations, that transforms a set of numbers into a different set. We put our input into the function, operations are performed on it, and a different number is outputted. If we have this function f(x) = 5x - 2, x stands for the input and what f(x) equals is the function. So 5x - 2 is the function here. f(x) is the mathematical notation. Think of it in a similar way to how you think of y. We say “a function of x” equals 5x - 2. If we wanted to calculate the value of f(3) we just need to replace x in the function with 3. f(3) = 5 (3) - 2 = 15 - 2 = 13. f(3) = 13. If f(x) = x-squared - 2x, then f(4) = 4X4 - 2X4, so f(4) = 8. If f(x) = 15 - 4x, calculate the value of x when f(x) = 35. This time we’re not being asked to substitute in a value of x, but instead are being told the function equals 35. So the output is 35. It wants us to find x (the input). We just need to solve 15 - 4x = 35. So x = -5. So an input of -5 will give an output of 35. For functions, you will usually see the letter F, but it can be anything. You’ll see g(x) h(x) and many other letters. They all mean the same thing:“a function of x” equals... There are two special rules which determine whether something is a function or not. The function must work for every input value. Every input value can only give one output value. Different inputs can share the same output, but each input can only give the one output. The final piece of the functions puzzle that we need to address in this introductory video are the words domain and range. We will come across these a lot when learning about functions. The domain just means the inputs. The domain can be a range of values, or just one value. 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