章节大纲

  • 常规

    全部折叠 展开全部

  • 职能的不同代表性

    App Development Continued
    ::继续发展

    The form in which a function is displayed affects our ability to find outputs and to interpret the information. The forms  you will be looking at in this section are mapping diagrams, tables, graphs, and equations. Each form has pros and cons which you will explore throughout this section. It is important for professionals in any field to understand how the display of a graph affects the viewers' ability to understand it. The ability to communicate an idea is an important skill in today’s professional world.
    ::显示函数的形式会影响我们查找输出和解释信息的能力。您将在本节中看到的表格是绘图图表、表格、图表和方程式。每种表格都有你将在本节中探讨的利弊。对于任何领域的专业人员来说,重要的是要了解图表的显示如何影响观众理解它的能力。在当今的专业世界中,传递思想的能力是一个重要的技能。

     

    Finding Outputs
    ::产出 产出

    B egin your analysis of the different forms by using each format to find an output:
    ::开始分析不同格式, 使用每种格式查找输出 :

     

    INTERACTIVE
    Finding Outputs
    minimize icon
    • Click one of the buttons at the top to see the different forms of functions.
      ::单击顶部的一个按钮以查看不同形式的函数。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
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    Yes
    No

     

     

    Progress
    0 / 7
    1.

    What is @$\begin{align*}f\left(6\right)\end{align*}@$ ?
    ::$\ begin{ align\ f\ left( 6\ right)\ end{ aliign\ $ 是什么 ?

    a

    4

    b

    6

    c

    0

    d

    8

     

    Discussion Question
    ::讨论问题

    For which forms was it easy or difficult to find outputs? For which forms was it easy or difficult to find inputs? Did the form make a difference in difficulty when you were finding inputs vs. output?
    ::对于哪些形式容易或难以找到产出?对于哪些形式容易或难以找到投入?对于哪些形式容易或难以找到投入?当您发现投入相对于产出时,表格有困难吗?

      

    Comparing Different Representations of Functions
    ::职能不同代表性的比较

    The lesson  explored how app developers use functions to analyze the performance of their graph. The interactive below displays the daily downloads of an app as a function of time starting on January 1.
    ::课程探索了应用程序开发者如何使用函数来分析其图形的性能。 下面的互动显示一个应用程序的每日下载量,这是从1月1日开始的时间函数。

     

    INTERACTIVE
    Comparing Different Representations of Functions
    minimize icon
    • Click one of the buttons at the top to see the different forms of the same function.
      ::单击顶部的一个按钮以查看相同函数的不同形式。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

    Discussion Questions
    ::讨论问题 讨论问题

    1. Explain what happened to the daily downloads over time.
      ::解释一下在一段时间内每日下载的内容。
    2. What are the pros and cons of each form in this context?
      ::在这种情况下,每一种形式的利弊是什么?
    3. Which form do you think best represents the data?
      ::你认为哪种形式最能代表数据?
    4. How can an app developer use the information provided by this function?
      ::应用程序开发者如何使用此函数提供的信息?

      

    When to Use Each Representation
    ::何时使用每个代表机构

    Here is a general overview of the situations in which each of the representations for displaying a function is most effective :
    ::以下概述显示一项职能的每项表述最为有效的情况:

    • Mapping Diagrams are best for discrete functions with a domain and range with less than ten elements. Mapping diagrams are commonly used in computer programming to display the behavior of a function as defined by the programmer.
      ::映射图是最适合具有域域和范围小于十个元素的离散函数的绘图图。绘图图通常用于计算机编程,以显示程序员定义的函数的行为。
    • Tables are best for displaying discrete functions with unrelated input values. Tables are often used to display functions with domains that have greater than 10 elements.
      ::表格最适合显示不相关的输入值的离散函数。表格通常用于显示有超过10个元素的字段的函数。
    • Graphs are best for displaying discrete or continuous functions related inputs. This form makes it easy to identify and analyze trends.
      ::图表最适合显示离散或连续函数相关投入。这种表格便于识别和分析趋势。
    • Equations are best when you only care about obtaining inputs or outputs for continuous functions with a large domain.
      ::当您只关心获得投入或产出,以获得具有大域的连续功能时,方程式才是最好的方程式。

    Answer the questions  below to choose the best form to display the described functions.
    ::回答下列问题,以选择显示所述函数的最佳形式。

     

      Summary
    • There are four representations of functions: mapping diagram, graph, table, and equation.
      ::功能有四种表现方式:绘图图、图表、表格和方程。
    • Mapping diagrams are best for discrete functions with a small domain and range.
      ::绘图图表最适合用于具有小域域和范围的离散函数。
    • Tables are best for discrete functions with unrelated input values. Tables can be used to help graph equations of functions.
      ::表格最适合使用不相关的输入值的离散函数。表格可用于帮助绘制函数的图形方程式。
    • Graphs are best for displaying continuous or discrete functions.
      ::图表最适合显示连续函数或离散函数。
    • Equations are best when finding input and output values for continuous functions.
      ::在为连续函数查找输入和输出值时,方程式是最好的。