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{"id":1194114,"type":0,"block_id":"ally1055_1369927754","theme_id":30,"user_id":415397,"path":"Linear-3103910731","title":"Linear","pubtitle":"Linear","tags":"","public":true,"publicAccess":true,"private_link_enabled":0,"thumb":"https://s3-eu-west-1.amazonaws.com/infogram-thumbs-200/ally1055_1369927754.jpg","width":550,"copyright":"","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":12587374,"object_id":"f04ea0b9-ea1a-11e4-a037-7b5f270fdca9","particle_type":"maintitle","picture":null,"text":"Linear","content_type":"","title":null,"shrink":null},{"type":"particle","particle_id":1446724,"object_id":"ally1055_1369927754","particle_type":"quote","picture":null,"text":"f (x) = x","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1460767,"object_id":"ally1055_1370014125","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/ally1055_1370014125.gif"},{"type":"particle","particle_id":1460778,"object_id":"ally10551370014170","particle_type":"bodytext","picture":null,"text":"Unique Characteristics: Has a constant rate of change, and is shown as a straight line on the graph.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1460814,"object_id":"ally10551370014264","particle_type":"bodytext","picture":null,"text":"Domain: All real numbers","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1460819,"object_id":"ally10551370014274","particle_type":"bodytext","picture":null,"text":"Range: +infinity < y < +infinity","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1460835,"object_id":"ally10551370014289","particle_type":"bodytext","picture":null,"text":"Similarities and differences between all functions: All of the other functions have curved lines as their lines of data on a graph, while linear equations have straight lines. Much like other functions, linear functions show a trend of growth or decay in data.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1461028,"object_id":"ally10551370014724","particle_type":"maintitle","picture":null,"text":"Quadratic","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1461140,"object_id":"ally10551370015040","particle_type":"quote","picture":null,"text":"F (X) = X^2","content_type":"","title":" ","shrink":null},{"type":"particle","particle_id":1461194,"object_id":"ally1055_1370015191","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/ally1055_1370015191.gif"},{"type":"particle","particle_id":1461208,"object_id":"ally10551370015226","particle_type":"bodytext","picture":null,"text":"Unique Characteristics: The only function to have a parabola as its line on it's graph. Also, the only function in which if you pick a point on the graph will be the same distance away from the axis of symmetry (line that is located straight through the middle of the parabola) as the other half.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1461225,"object_id":"ally10551370015281","particle_type":"bodytext","picture":null,"text":"Domain: All real numbers","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1461228,"object_id":"ally10551370015288","particle_type":"bodytext","picture":null,"text":"Range: 0 < y < + infinity ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1461230,"object_id":"ally10551370015292","particle_type":"bodytext","picture":null,"text":"Similarities and differences in all functions: A quadratic function is the only function in which if you pick a point on the graph it will be the same distance away from the axis of symmetry as the other side of the graph. Much like exponential growth and decay's lines, a quadratic equation will always be either pointing downwards, or upwards and is a never ending line, like liner function's line.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473535,"object_id":"ally10551370185721","particle_type":"maintitle","picture":null,"text":"Exponential Growth ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473541,"object_id":"ally10551370185752","particle_type":"quote","picture":null,"text":"F(x) = g^x, g>1","content_type":"","title":" ","shrink":null},{"type":"particle","particle_id":1473584,"object_id":"ally1055_1370186480","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/ally1055_1370186480.png"},{"type":"particle","particle_id":1473586,"object_id":"ally10551370186554","particle_type":"bodytext","picture":null,"text":"Unique Characteristics: The rate of growth goes up with time, this is shown as a curved line going up on the graph.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473589,"object_id":"ally10551370186564","particle_type":"bodytext","picture":null,"text":"Domain: All real numbers","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473590,"object_id":"ally10551370186575","particle_type":"bodytext","picture":null,"text":"Range: real numbers > 0","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473592,"object_id":"ally10551370186581","particle_type":"bodytext","picture":null,"text":"Similarities and differences in all functions:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1474036,"object_id":"ally10551370192009","particle_type":"video","picture":null,"text":"//youtube.com/embed/5GykEPOJlpA"},{"type":"particle","particle_id":1473600,"object_id":"ally10551370186690","particle_type":"maintitle","picture":null,"text":"exponential Decay","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473604,"object_id":"ally10551370186725","particle_type":"quote","picture":null,"text":"f(x) =g^x, 0 < g < 1","content_type":"","title":" ","shrink":null},{"type":"particle","particle_id":1473644,"object_id":"ally1055_1370187172","particle_type":"image","picture":"https://s3-eu-west-1.amazonaws.com/infogram-particles-700/ally1055_1370187172.jpg"},{"type":"particle","particle_id":1473645,"object_id":"ally10551370187181","particle_type":"bodytext","picture":null,"text":"Unique Characteristics: The curved line on the graph for exponential decay represents that the rate of decrease will reduce over time. Also, the curved line will never touch the x-axis.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473646,"object_id":"ally10551370187189","particle_type":"bodytext","picture":null,"text":"Domain: All real numbers","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473649,"object_id":"ally10551370187203","particle_type":"bodytext","picture":null,"text":"Range: Real numbers > 0","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1473652,"object_id":"ally10551370187227","particle_type":"bodytext","picture":null,"text":"Similarities and differences in all functions: The line for exponential decay is curved like the parabola for quadratic functions, or the curved line for exponential growth. The curved line for exponential growth on the graph represents that the rate of decrease will reduce overtime, none of the other graphs show this. 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