Gr 9 MATH: Ch 6 Sum Functions and Relations
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Questions and Answers

What is the result of applying the rule to the number 4 in Set A?

  • 6 (correct)
  • 16
  • 30
  • 10
  • What is the output number for the input 30 in Set B when the rule is applied?

  • -10
  • 0
  • 10 (correct)
  • 20
  • Which of the following rules would result in negative numbers when applied to natural numbers smaller than 1000?

  • x - 1000 (correct)
  • x/2
  • x + 1000
  • 2x + 1
  • What is the output number for the input 2 in Set A when the rule 2n + 1 is applied?

    <p>3</p> Signup and view all the answers

    Which of the following rules would result in positive numbers between 10 and 11 when applied to natural numbers smaller than 10?

    <p>x/10 + 10</p> Signup and view all the answers

    What is the output number for the input 6 in Set A when the rule 2n - 1 is applied?

    <p>10</p> Signup and view all the answers

    Which of the following rules would result in positive numbers greater than 2 when applied to positive fractions with denominators 2, 3, and 5?

    <p>30x + 2</p> Signup and view all the answers

    What is the relationship between the input and output values in a function?

    <p>One variable is influenced by the other</p> Signup and view all the answers

    What is the purpose of an algebraic expression in a function?

    <p>To describe the relationship between variables</p> Signup and view all the answers

    What is the result of applying the rule to the number 8 in Set A?

    <p>10</p> Signup and view all the answers

    What is the definition of a function?

    <p>A relationship between two variables in which there is only one output number for each input number.</p> Signup and view all the answers

    What is the purpose of a flow diagram?

    <p>To illustrate the calculations needed to determine the output number for a given input variable.</p> Signup and view all the answers

    What is a table representation of a function?

    <p>A completed table showing the input numbers and their corresponding function values.</p> Signup and view all the answers

    How can a function be represented?

    <p>With a flow diagram, a table of values, or a graph.</p> Signup and view all the answers

    What is a graph representation of a function?

    <p>A visual representation of the relationship.</p> Signup and view all the answers

    What is the primary goal of using different representations of a function?

    <p>To provide a better understanding of the function.</p> Signup and view all the answers

    What is unique about a function?

    <p>Every input has a unique output.</p> Signup and view all the answers

    What is the advantage of using multiple representations of a function?

    <p>It provides a more comprehensive understanding of the function.</p> Signup and view all the answers

    What is the main difference between a flow diagram and a table?

    <p>A flow diagram shows the calculations, while a table shows the input and output numbers.</p> Signup and view all the answers

    What is the relationship between the input and output numbers in a function?

    <p>One input can have a unique output.</p> Signup and view all the answers

    What is the essential characteristic of a function that distinguishes it from a relation?

    <p>Each input corresponds to exactly one output.</p> Signup and view all the answers

    What is the purpose of applying different rules to even numbers in a function?

    <p>To analyze the output types resulting from the application of different rules.</p> Signup and view all the answers

    What is the primary advantage of using multiple representations of a function?

    <p>It provides a deeper understanding of the relationship between the input and output values.</p> Signup and view all the answers

    What is the role of an algebraic expression in a function?

    <p>It describes the calculations needed to find the output number that corresponds to a given input number.</p> Signup and view all the answers

    What is the relationship between the input and output values in a function?

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

    What is the result of applying the rule $x - 1000$ to natural numbers smaller than 1000?

    <p>Negative numbers.</p> Signup and view all the answers

    What is the result of applying the rule $rac{x}{10} + 10$ to natural numbers smaller than 10?

    <p>Positive numbers between 10 and 11.</p> Signup and view all the answers

    What is the result of applying the rule $30x + 2$ to positive fractions with denominators 2, 3, and 5?

    <p>Positive numbers greater than 2.</p> Signup and view all the answers

    What is the characteristic of a relation that is not a function?

    <p>Each input corresponds to multiple outputs.</p> Signup and view all the answers

    What is the main difference between a function and a relation?

    <p>A function is a specific type of relation where each input corresponds to exactly one output.</p> Signup and view all the answers

    Which of the following representations of a function most clearly shows the calculations needed to determine the output number for a given input variable?

    <p>Flow Diagram</p> Signup and view all the answers

    What is the primary advantage of using multiple representations of a function?

    <p>It allows for a more comprehensive understanding of the function.</p> Signup and view all the answers

    Which of the following is a characteristic of a function?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    What is the purpose of a table representation of a function?

    <p>To show the input numbers and their corresponding function values.</p> Signup and view all the answers

    Which of the following representations of a function provides a visual representation of the relationship?

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

    What is the main difference between a flow diagram and a table?

    <p>A flow diagram illustrates the calculations, while a table shows the input numbers and their corresponding function values.</p> Signup and view all the answers

    What is unique about a function compared to other relationships between variables?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    Why is it useful to represent a function in multiple ways?

    <p>It provides a more comprehensive understanding of the function.</p> Signup and view all the answers

    Which of the following is NOT a way to represent a function?

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

    What is the primary goal of using different representations of a function?

    <p>To make the function easier to understand.</p> Signup and view all the answers

    What is the fundamental property that distinguishes a function from a relation?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    Which representation of a function is most useful for visualizing the relationship between input and output values?

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

    What is the primary advantage of using multiple representations of a function?

    <p>It enables a deeper understanding of the relationship between input and output values.</p> Signup and view all the answers

    What is the primary purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to determine the output number for a given input variable.</p> Signup and view all the answers

    Which of the following is a characteristic of a function that is not true for a relation?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    What is the key feature of a function that distinguishes it from a relation?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    What is the primary purpose of using different representations of a function?

    <p>To highlight the different ways of representing the same function.</p> Signup and view all the answers

    Which representation of a function is most useful for illustrating the calculations needed to determine the output number?

    <p>Flow Diagram</p> Signup and view all the answers

    What is the primary advantage of using multiple representations of a function?

    <p>It allows for a deeper understanding of the function.</p> Signup and view all the answers

    What is the primary purpose of a graph representation of a function?

    <p>To provide a visual representation of the relationship.</p> Signup and view all the answers

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