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{"id":1193357,"type":0,"block_id":"maricmitchell_1369920655","theme_id":32,"user_id":415062,"path":"Functions-Graphic-Organizer-maricmitchell_1369920655","title":"Functions Graphic Organizer","pubtitle":"Functions Graphic Organizer","tags":"","public":true,"publicAccess":true,"private_link_enabled":0,"thumb":"https://s3-eu-west-1.amazonaws.com/infogram-thumbs-200/maricmitchell_1369920655.jpg","width":550,"copyright":null,"properties":{"publishType":0,"transparent":false,"rtl":false,"export_settings":{"showGrid":true,"showValues":true},"whitelabel":false,"embed_button":"enabled","title_link":"infogram","custom_logo":"infogram","custom_link_url":"","embed_button_text":"Share","decimal_separator":".,"},"elements":[{"type":"particle","particle_id":15743662,"object_id":"441c6a7e-eaa0-11e4-a037-7b5f270fdca9","particle_type":"maintitle","picture":null,"text":"Functions Graphic Organizer","content_type":"","title":null,"shrink":null},{"type":"particle","particle_id":1444948,"object_id":"maricmitchell_1369920655","particle_type":"quote","picture":null,"text":"Andrea Mitchell ","content_type":"","title":"Algebra B Hour 2","shrink":null},{"type":"particle","particle_id":1444957,"object_id":"maricmitchell1369920688","particle_type":"maintitle","picture":null,"text":"The Linear Function:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1444962,"object_id":"maricmitchell1369920698","particle_type":"bodytitle","picture":null,"text":"A linear function is when the rate of change of y relative to x in constant.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1445062,"object_id":"maricmitchell_1369921053","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1369921053.png"},{"type":"particle","particle_id":1445075,"object_id":"maricmitchell1369921109","particle_type":"bodytext","picture":null,"text":"The linear function above displays the equation y=2x+1. ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1445138,"object_id":"maricmitchell1369921278","particle_type":"bodytext","picture":null,"text":"A unique characteristic of the linear function is when it is graphed, they will always be straight lines","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1445097,"object_id":"maricmitchell1369921171","particle_type":"bodytext","picture":null,"text":"The general form of a linear equation is f(x)=mx+b , y-y1=m(x-x1) , or Ax+By=C","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1445123,"object_id":"maricmitchell1369921229","particle_type":"bodytext","picture":null,"text":"The parent function of a linear equation is f(x)=x. All linear equations can be related back to this parent function.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476553,"object_id":"maricmitchell1370219955","particle_type":"bodytext","picture":null,"text":"The domain and range for a linear equation is all real numbers.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1450174,"object_id":"maricmitchell1369940640","particle_type":"maintitle","picture":null,"text":"The Quadratic Function:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1450182,"object_id":"maricmitchell1369940673","particle_type":"bodytitle","picture":null,"text":"An equation in which the highest power of an unknown quantity is a square.\n","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1450259,"object_id":"maricmitchell_1369940980","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1369940980.png"},{"type":"particle","particle_id":1450229,"object_id":"maricmitchell1369940840","particle_type":"bodytext","picture":null,"text":"The parabola above displays the equation y=(x-1)^2+1","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1450277,"object_id":"maricmitchell1369941072","particle_type":"bodytext","picture":null,"text":"A unique characteristic is when graphed, quadratic equations take the shape of a parabola.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1458822,"object_id":"maricmitchell1370005639","particle_type":"bodytext","picture":null,"text":"The general form f(x)=a x^2 + b x + c, and the factored general for is f(x)=(x-x1) (x-x2)","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1458896,"object_id":"maricmitchell1370006028","particle_type":"bodytext","picture":null,"text":"The parent equation for all quadratic functions is f(x)=x^2","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476560,"object_id":"maricmitchell1370220028","particle_type":"bodytext","picture":null,"text":"For this particular graph, the domain is all real numbers and the range is all real numbers greater than or equal to 1.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1458935,"object_id":"maricmitchell1370006227","particle_type":"maintitle","picture":null,"text":"The Exponential Function:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1459102,"object_id":"maricmitchell1370006914","particle_type":"bodytitle","picture":null,"text":"The exponential function displays increasing or decreasing by a percentage.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1459119,"object_id":"maricmitchell_1370006999","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1370006999.png"},{"type":"particle","particle_id":1459250,"object_id":"maricmitchell_1370007417","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1370007417.png"},{"type":"particle","particle_id":1459283,"object_id":"maricmitchell1370007543","particle_type":"bodytext","picture":null,"text":"Exponential Growth ^^^","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476505,"object_id":"maricmitchell1370219577","particle_type":"bodytext","picture":null,"text":"The curved graph above displays the equation y=1(2)^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476510,"object_id":"maricmitchell1370219631","particle_type":"bodytext","picture":null,"text":"A unique characteristic is when graphed, an exponential growth function will always be an up-curved shape.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476528,"object_id":"maricmitchell1370219729","particle_type":"bodytext","picture":null,"text":"The general form for exponential growth is y=bg^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476536,"object_id":"maricmitchell1370219784","particle_type":"bodytext","picture":null,"text":"The parent function for exponential growth is f(x)=g^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476573,"object_id":"maricmitchell1370220125","particle_type":"bodytext","picture":null,"text":"For this particular graph, the domain and range are all real numbers. ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1459278,"object_id":"maricmitchell_1370007517","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1370007517.png"},{"type":"particle","particle_id":1459308,"object_id":"maricmitchell1370007652","particle_type":"bodytext","picture":null,"text":"Exponential Decay^^^","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476602,"object_id":"maricmitchell1370220358","particle_type":"bodytext","picture":null,"text":"The curved graph above displays the equation y=100(.5)^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476610,"object_id":"maricmitchell1370220446","particle_type":"bodytext","picture":null,"text":"A unique characteristic of this function is that when graphed, it will always be a downwards curve.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476614,"object_id":"maricmitchell1370220479","particle_type":"bodytext","picture":null,"text":"The general form for this function is y=bg^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476618,"object_id":"maricmitchell1370220505","particle_type":"bodytext","picture":null,"text":"The parent function is y=g^x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476620,"object_id":"maricmitchell1370220529","particle_type":"bodytext","picture":null,"text":"For this particular graph, the domain and range are all real numbers.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476633,"object_id":"maricmitchell1370220697","particle_type":"maintitle","picture":null,"text":"The Absolute Value Function:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476635,"object_id":"maricmitchell1370220719","particle_type":"bodytitle","picture":null,"text":"A function that contains an algebraic expression within absolute value symbols.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476646,"object_id":"maricmitchell_1370220842","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/maricmitchell_1370220842.gif"},{"type":"particle","particle_id":1476648,"object_id":"maricmitchell1370220862","particle_type":"bodytext","picture":null,"text":"The v-shaped graph above displays the equation y=lxl","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476651,"object_id":"maricmitchell1370220913","particle_type":"bodytext","picture":null,"text":"A unique characteristic of this function is when graphed, it will take the shape of a v.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476652,"object_id":"maricmitchell1370220939","particle_type":"bodytext","picture":null,"text":"The general form for an absolute value function is y = a|x – h| + k","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476663,"object_id":"maricmitchell1370221031","particle_type":"bodytext","picture":null,"text":"The parent function for this function is y=lxl","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476673,"object_id":"maricmitchell1370221055","particle_type":"bodytext","picture":null,"text":"For this particular graph, the domain is all real numbers and the range is all real numbers greater than or equal to 0.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476682,"object_id":"maricmitchell1370221132","particle_type":"maintitle","picture":null,"text":"Videos:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476696,"object_id":"maricmitchell1370221316","particle_type":"bodytitle","picture":null,"text":"Linear Function: http://www.youtube.com/watch?v=mxBoni8N70Y","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476700,"object_id":"maricmitchell1370221340","particle_type":"bodytitle","picture":null,"text":"Quadratic Function: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/function-definition.php (scroll down to view video)","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476705,"object_id":"maricmitchell1370221443","particle_type":"bodytitle","picture":null,"text":"Exponential Functions: http://www.youtube.com/watch?v=M4kuWR92p7M","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476712,"object_id":"maricmitchell1370221528","particle_type":"bodytitle","picture":null,"text":"Absolute Value Function: http://www.youtube.com/watch?v=kAQ-CPyKzq8","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476719,"object_id":"maricmitchell1370221604","particle_type":"maintitle","picture":null,"text":"Compare and Contrast:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1476747,"object_id":"maricmitchell1370221893","particle_type":"bodytitle","picture":null,"text":"Altogether, the functions above all display different types of graphing situations. They cannot really be compared because they all represent different things. However, all of the above equations are functions, and they all have a domain and range and they all have relations (a set of ordered pairs that include two variables).","content_type":"","title":"","shrink":null}],"theme":{"createdAt":"2016-04-22T04:54:07.000Z","updatedAt":"2016-12-28T10:33:53.000Z","logoImages":[""],"charts":{"table":{"shapeFill":"e84f2c","headerColor":"#6f6f6f","cellColor":"#6f6f6f","headerBackground":"#eeeeee","cellBackground":"#ffffff"},"treemap":{"labels":{"name":{"fontFamily":"PT Sans Narrow","fontWeight":"700"},"value":{"fontFamily":"PT Sans Narrow"}}},"wordcloud":{"labels":{"fontFamily":"Arial","fontWeight":"700"}}},"color":{"bg":"#ffffff","text":"#000000","chart":{"bg":"transparent","text":"#7d7d7d"},"element":{"bg":"transparent","text":"#000000"}},"colorPresets":[],"localFonts":[],"font":{"common":{"fontFamily":"PT Sans 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