Function notation
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Questions and Answers

What is a relation?

  • A function that assigns a single value in the range to each value in the domain.
  • A set of unordered pairs.
  • A set of ordered pairs, with the domain being the set of first components and the range being the set of second components. (correct)
  • A set of ordered pairs, with the domain being the set of second components and the range being the set of first components.

    • What is a relation?

  • A set of ordered pairs (correct)
  • A set of random pairs
  • A set of paired relations
  • A set of unordered pairs

    • What is a relation?

  • A set of ordered pairs (correct)
  • A dependent variable
  • A function with no repeated x-values
  • An independent variable

    • What is a relation?

    <p>A set of ordered pairs</p> Signup and view all the answers

    Where was Mohandas Karamchand Gandhi born and raised?

    <p>Coastal Gujarat</p> Signup and view all the answers

    What is a function?

    <p>A relation that assigns a single value in the range to each value in the domain, with no repeated x-values.</p> Signup and view all the answers

    What is a function?

    <p>A relation that assigns a single value in the range to each value in the domain</p> Signup and view all the answers

    What is a function?

    <p>A relation that assigns a single value in the range to each value in the domain, with no repeated x-values</p> Signup and view all the answers

    What is a function?

    <p>A relation that assigns a single value in the range to each value in the domain, with no repeated x-values</p> Signup and view all the answers

    What method did Gandhi employ to lead the campaign for India's independence?

    <p>Nonviolent resistance</p> Signup and view all the answers

    What are the input values in a function also known as?

    <p>Independent variables</p> Signup and view all the answers

    In which country did Gandhi first employ nonviolent resistance in a campaign for civil rights?

    <p>South Africa</p> Signup and view all the answers

    What are input values also known as?

    <p>Independent variables</p> Signup and view all the answers

    What are the input values in a function known as?

    <p>Independent variables</p> Signup and view all the answers

    Which values are also known as independent variables?

    <p>Input values</p> Signup and view all the answers

    Which organization did Gandhi assume leadership of in 1921?

    <p>Indian National Congress</p> Signup and view all the answers

    How can you determine if a relationship is a function?

    <p>By identifying the input and output values and checking if each input leads to only one output</p> Signup and view all the answers

    How can you determine if a relationship is a function?

    <p>Identify the input and output values and check if each input leads to only one output</p> Signup and view all the answers

    How can you determine if a relationship is a function?

    <p>Identify the input and output values and check if each input leads to only one output.</p> Signup and view all the answers

    How can you determine if a relationship is a function?

    <p>Identify the input and output values and check if each input leads to only one output</p> Signup and view all the answers

    What did Gandhi undertake several hunger strikes to stop?

    <p>Religious violence in India</p> Signup and view all the answers

    Which one of the following is a function?

    <p>The price of an item in a coffee shop menu</p> Signup and view all the answers

    Which of the following is an example of a function?

    <p>The price of items in a coffee shop menu</p> Signup and view all the answers

    Is the price a function of the item or is the item a function of the price in a coffee shop menu?

    <p>The price is a function of the item.</p> Signup and view all the answers

    Which is a function: item or price in a coffee shop menu?

    <p>Price</p> Signup and view all the answers

    What is a growing child's weight an example of?

    <p>A quantity that can depend on another</p> Signup and view all the answers

    Which of the following is an example of a relationship between quantities?

    <p>The altitude of a jetliner and the distance from the starting point</p> Signup and view all the answers

    Which one of the following is not a function?

    <p>The item in a coffee shop menu</p> Signup and view all the answers

    Is the grade point average a function of the percent grade or is the percent grade a function of the grade point average in a math class?

    <p>The grade point average is a function of the percent grade</p> Signup and view all the answers

    What does the domain make up in a function?

    <p>The input values</p> Signup and view all the answers

    What does the domain represent in a function?

    <p>The input values</p> Signup and view all the answers

    What is a relationship between quantities?

    <p>A function</p> Signup and view all the answers

    What is a dependent variable?

    <p>Output values</p> Signup and view all the answers

    What does the range make up in a function?

    <p>The output values</p> Signup and view all the answers

    Which of the following is not a function?

    <p>The color of a car based on its model</p> Signup and view all the answers

    What is an independent variable?

    <p>A variable that is not affected by any other variable</p> Signup and view all the answers

    What is an independent variable?

    <p>Input values</p> Signup and view all the answers

    What is a dependent variable?

    <p>The values that change based on another variable in a relationship</p> Signup and view all the answers

    What is a relationship?

    <p>A connection between quantities that can be described, analyzed, and used to make predictions</p> Signup and view all the answers

    What does Figure 1.1.1 compare?

    <p>Relations that are functions and not functions</p> Signup and view all the answers

    What can a quantity depend on?

    <p>Another quantity</p> Signup and view all the answers

    What does Figure 1.1.1 compare?

    <p>Relations that are functions and not functions.</p> Signup and view all the answers

    What is a range in a function?

    <p>The output values</p> Signup and view all the answers

    What is a grade point average a function of?

    <p>The percent grade in a math class</p> Signup and view all the answers

    What makes up the input values in a function?

    <p>Domain</p> Signup and view all the answers

    Study Notes

    • Mohandas Karamchand Gandhi was an Indian lawyer, anti-colonial nationalist, and political ethicist.
    • He employed nonviolent resistance to lead the successful campaign for India's independence from British rule.
    • Gandhi inspired movements for civil rights and freedom across the world.
    • He was born and raised in a Hindu family in coastal Gujarat and trained in law in London.
    • Gandhi lived in South Africa for 21 years, where he first employed nonviolent resistance in a campaign for civil rights.
    • He returned to India in 1915 and assumed leadership of the Indian National Congress in 1921.
    • Gandhi led nationwide campaigns for easing poverty, expanding women's rights, and achieving self-rule.
    • He was imprisoned many times and for many years in both South Africa and India.
    • In August 1947, Britain granted independence, but the British Indian Empire was partitioned into two dominions, a Hindu-majority India and a Muslim-majority Pakistan.
    • Gandhi visited the affected areas of religious violence and undertook several hunger strikes to stop it.

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    Description

    A relation is a set of ordered pairs. The set of the first components of each ordered pair is called the domain and the set of the second components of each ordered pair is called the range. Consider the following set of ordered pairs. The first numbers in each pair are the first five natural numbers. The second number in each pair is twice that of the first.

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