{"title":"图的变换","authors":"Mark Kudlowski, M. K. H. Tuition","doi":"10.1090/prb/029/07","DOIUrl":null,"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":0.0000,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Transformations of Graphs\",\"authors\":\"Mark Kudlowski, M. K. H. Tuition\",\"doi\":\"10.1090/prb/029/07\",\"DOIUrl\":null,\"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\":0.0000,\"publicationDate\":\"2018-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Functions and Graphs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/prb/029/07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functions and Graphs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/prb/029/07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
图1显示了y = f(x)， xr的部分图形，该图形由两条线段组成，它们在点(1,a)， a < 0处相交。一条直线与x轴相交于(3,0)点，另一条直线与x轴相交于(- 1,0)点，与y轴相交于(0,b)点，b < 0。在单独的图表中，用方程(a) y = f(x + 1)， (2) (b) y = f(x)绘制图形。(3)在每张草图上清楚标明与坐标轴交点的坐标。给定f(x) =x - 1- 2，求出(c) a的值和b的值，(2)(d) f(x) = 5x时x的值。(4) 2005年6月
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
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