Introduction to reciprocal functions, identifying asymptotes and graphs of reciprocal functions, stretching, shrinking, and translating reciprocal functions, and graphing reciprocal functions. We spent most of our time in that section looking at functions graphically because they were, after all, just sets of points in the plane. Reciprocal graphs drawing lesson teaching resources. For the full list of videos and more revision resources visit uk. Once we have the reciprocal curves sketched, all we have to do next is place vertical asymptotes anywhere the reciprocal graph crosses the center line. Detailed typed answers are provided to every question. Starting off with 1 over x graphs, then moving onto 1 over quadratic, 1 over cubic types of reciprocal graphs. These are tiered reciprocal graph sketch question worksheets. Although the kind of music they prefer will differ. Indicate clearly the coordinates of any points of intersection between c and the coordinate axes. Weve seen how to draw straight lines drawing straight line graphs revision, so now were going to look at the weirder, curvier, more interesting kinds of graphs however, the way that we plot them will be the same. Sketching graphs of quadratics, cubics and reciprocals green tip.
How to graph reciprocal functions, characteristics of graphs of reciprocal functions, use transformations to graph a reciprocal function, how to graph a reciprocal function when given its equation, how to get the equation of a reciprocal function when given its graph, examples with step by step solutions. But were not going to give up can you think of anything youd like to try here. Graphsketch is provided by andy schmitz as a free service. This website and its content is subject to our terms and conditions. The powerpoint takes you through it and the worksheets are obviously for the students.
A vertical line that a function may approach, yet never touch. Plotting reciprocal graphs worksheet teaching resources. Sketching cubic curves sketching reciprocal curves of the form y kx curve sketching. Reciprocal functions have the form of a fraction with x as the denominator.
Graph the following reciprocal functions, marking all points as accurately as possible. Reciprocal graph sketch questions worksheets teaching resources. This is due to the fact that at the xintercepts, they yvalues are zero and it is impossible to divide 1 by 0 for the reciprocal function. Worksheet containing blank axes for the practice questions to save pupils from having to draw them. By calculating values of coordinates you can find points and draw a graph for any relationship.
Reciprocal graphs lesson resources teaching resources. Answer the questions in the spaces provided there may be more space than you need. Sketching reciprocal curves of the form y kx examsolutions. Differentiated lesson that covers all three graph types recognising their shapes and plotting from a table of values. I was asked to cover an introduction to reciprocal graphs for an interview lesson. Sketching reciprocal curves of the form y kx i now move on to reciprocal curves of the form, y k x where k is a constant. The graphs of reciprocal trigonometric functions have asymptotes where the functions are undefined. Nov 14, 2016 a level maths revision tutorial video. Could be differentiated by choosing to do some questions and leaving others. The reciprocal of large values become small values. Common core state standards cc31 p reciprocal then sketch.
Draw graphs of reciprocal functions by plotting coordinates. For more details about sketching straight lines you can read the study guide. Displaying all worksheets related to reciprocal graphs. Often mathematicians just want to know the key features. A reciprocal s vertical asymptotes are located at fxs zeroes. Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions and the reciprocal function with the subject content above matches that set out in the department for educations mathematics gcse subject content and assessment objectives document. Graphs of reciprocal functions solutions, examples.
We begin by discussing the graphs of two specific linear functions. Graph sketching transforms, asymptotes and axis intersection theres often some kind of graph transform in exam, so always be on the lookout. How to easily graph sec, csc, cot, and tan stepbystep. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq. Graphs and equations pearson schools and fe colleges. Mathematics linear 1ma0 drawing quadratic graphs materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Graphs of reciprocal functions solutions, examples, worksheets. Starter task requires students to sketch linear graphs from a table of values. The graphs for basic tangent and cotangent functions. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions. Sep 20, 2017 these are tiered reciprocal graph sketch question worksheets.
Scaffolded worksheet to meet following learning outcomes. Sketching cubic and reciprocal graphs a level links scheme of work. Exam questions graph transformations examsolutions. The harder problems could be useful practice for the more able students. Edexcel maths gcse graphs of reciprocal functions come up. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. Oct 24, 20 the corbettmaths video tutorial on reciprocal graphs. Aug 03, 2015 originally used for a gcse higher tier set. Draw graphs of quadratic and cubic functions by plotting coordinates. The graph of a reciprocal function of the form a y x has one of the shapes. Plotting quadratic and harder graphs worksheets mme. It is also extremely useful to learn the shapes of basic functions, such as linear, quadratic, cubic, exponential, logarithmic and trigonometric sine, cosine and. Sketching the reciprocal of a graph university of melbourne.
Read each question carefully before you begin answering it. Recognise the type of function quadratic, cubic, reciprocal when given a graph. Diagrams are not accurately drawn, unless otherwise indicated. Jan 22, 2020 the awesome thing about these two graphs, is that all we really have to do is graph their reciprocal functions first i. Inverse functions mctyinverse20091 an inverse function is a second function which undoes the work of the. Worksheets are name gcse 1 9 cubic and reciprocal graphs, graphing simple rational functions, 3 graph sketching c1 sneza, graphs of other trigonometric functions, work modifying functions, national behaviour support service reciprocal teaching, work properties of trigonometric functions, graphing rational. Stretch when a 1 and shrink when 0 graphs for positive and negative a values.
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