Mathematics - International - 0607 CIE

Sketching Graphs On A Calculator

Overview

The graphic display calculator turns algebra into pictures. Type in a function and you can see its shape, read values from a table, find where it crosses the axes, and pick out its highest and lowest points, all in seconds. For the International syllabus this is a core skill, not an optional extra.

In this lesson you will learn the general calculator method for each key task: sketching a graph, building a table of values, plotting points, finding zeros and turning points, finding where two graphs meet, and locating the vertex of a quadratic. The steps are described in words so they work on any model of calculator.

Objectives

  1. Use a graphic display calculator to: (a) sketch the graph of a function (b) produce a table of values (c) plot points (d) find zeros, local maxima or local minima (e) find the intersection of the graphs of functions (f) find the vertex of a quadratic.

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Flashcards

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Lesson Note

Many real functions are too awkward to analyse neatly by hand, but a calculator handles them instantly. Knowing how to read a graph from the screen, find its key features and trust those readings is a genuine twenty-first-century skill, and the International syllabus examines it directly. It also gives you a fast, independent way to check work done algebraically.

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Lesson Evaluation

Congratulations on completing the lesson on Sketching Graphs On A Calculator. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. On a graphic display calculator, a point where the graph crosses the x-axis is called a: A. vertex B. zero C. maximum D. intercept of two graphs Answer: B
  2. For y = x^2 - 1, what is the value of y when x = 0? A. -1 B. 0 C. 1 D. 2 Answer: A
  3. The single turning point of a parabola is called its: A. zero B. intersection C. vertex D. asymptote Answer: C
  4. For y = x^2 - 4x + 3, the calculator gives a minimum turning point at: A. (0, 3) B. (2, -1) C. (1, 0) D. (3, 0) Answer: B
  5. To find where two graphs meet on a calculator, you use the: A. zero option B. table option C. intersection option D. window option Answer: C

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