{"title":"Select Special Functions and\u0000 Equations","authors":"","doi":"10.1090/prb/029/12","DOIUrl":"https://doi.org/10.1090/prb/029/12","url":null,"abstract":"","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127144549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Connections to the Common Core State\u0000 Standards: Practice Standards and Content\u0000 Standards","authors":"","doi":"10.1090/prb/029/18","DOIUrl":"https://doi.org/10.1090/prb/029/18","url":null,"abstract":"","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124409773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fitting Formulas to Data Points","authors":"","doi":"10.1090/prb/029/13","DOIUrl":"https://doi.org/10.1090/prb/029/13","url":null,"abstract":"","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"1527 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127445599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transformations of Graphs","authors":"Mark Kudlowski, M. K. H. Tuition","doi":"10.1090/prb/029/07","DOIUrl":"https://doi.org/10.1090/prb/029/07","url":null,"abstract":"Figure 1 shows part of the graph of y = f(x), x R. The graph consists of two line segments that meet at the point (1, a), a < 0. One line meets the x-axis at (3, 0). The other line meets the x-axis at (–1, 0) and the y-axis at (0, b), b < 0. In separate diagrams, sketch the graph with equation (a) y = f(x + 1), (2) (b) y = f(x). (3) Indicate clearly on each sketch the coordinates of any points of intersection with the axes. Given that f(x) = x – 1 – 2, find (c) the value of a and the value of b, (2) (d) the value of x for which f(x) = 5x. (4) June 05 Q6 O y","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130794366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Polynomial Functions","authors":"Paul Dawkins","doi":"10.1090/prb/029/10","DOIUrl":"https://doi.org/10.1090/prb/029/10","url":null,"abstract":"Many common functions are polynomial functions. In this unit we describe polynomial functions and look at some of their properties. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. After reading this text, and/or viewing the video tutorial on this topic, you should be able to: • recognise when a rule describes a polynomial function, and write down the degree of the polynomial, • recognize the typical shapes of the graphs of polynomials, of degree up to 4, • understand what is meant by the multiplicity of a root of a polynomial, • sketch the graph of a polynomial, given its expression as a product of linear factors.","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126681562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Functions on ℝ","authors":"","doi":"10.1090/prb/029/04","DOIUrl":"https://doi.org/10.1090/prb/029/04","url":null,"abstract":"","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129171522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Composite Functions and Inverse\u0000 Functions","authors":"","doi":"10.1090/prb/029/05","DOIUrl":"https://doi.org/10.1090/prb/029/05","url":null,"abstract":"","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"709 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132251116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Functions and Graphs","authors":"R. D. Gustafson, Peter D. Frisk","doi":"10.1090/prb/029/01","DOIUrl":"https://doi.org/10.1090/prb/029/01","url":null,"abstract":"Basic concepts. Functions and their graphs. More on polynomial functions and equations. Exponential and logarithmic functions. Trigonometric functions. Applications of trigonometry. Trigonometric identities and equations. Systems of equations and inequalities. Analytic geometry. Natural number functions. Appendices. Index.","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130485647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}