Function
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Questions and Answers

What is the set of numbers that includes 0, 1, 2, 3, and so on?

  • Set of rational numbers
  • Set of imaginary numbers
  • Set of non-negative integers (correct)
  • Set of positive real numbers

    • What is an example of related quantities?

  • Height and weight of a person
  • Area and radius of a circle (correct)
  • Time and temperature of a day
  • All of the above

    • What are the quantities that are neither rational nor irrational?

  • Infinity (correct)
  • Prime numbers
  • Negative real numbers
  • Imaginary numbers

    • What is the value of |–4.57|?

    <p>–5</p> Signup and view all the answers

    What is the value of [1.34]?

    <p>1</p> Signup and view all the answers

    What is the value of {4.92}?

    <p>0.92</p> Signup and view all the answers

    Which of the following is a property of the absolute value function?

    <p>|x| ≥ x</p> Signup and view all the answers

    What is the relationship between |x| and |–x|?

    <p>|x| = |–x|</p> Signup and view all the answers

    What is the set of real numbers denoted by?

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

    What type of numbers are those which can be expressed in the form of p/q where p and q are integers and q ≠ 0?

    <p>Rational numbers</p> Signup and view all the answers

    What is the set of positive integers denoted by?

    <p>I+</p> Signup and view all the answers

    What is the complement of the set of rational numbers denoted by?

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

    What does |x| represent?

    <p>The maximum of x and –x</p> Signup and view all the answers

    What is the property of absolute value represented by |xy| = |x||y|?

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

    What is the property of absolute value represented by |x| ≥ a if and only if x ≥ a or x ≤ –a?

    <p>Triangle Inequality</p> Signup and view all the answers

    What is the property of absolute value represented by |x| ≤ a if and only if –a ≤ x ≤ a?

    <p>Non-Negativity</p> Signup and view all the answers

    What is the relationship between [x] and {x}?

    <p>[x] + {x} = x</p> Signup and view all the answers

    What is the property of absolute value represented by |x ± y| ≤ |x| + |y|?

    <p>Triangle Inequality</p> Signup and view all the answers

    What is the value of [–4.57]?

    <p>-5</p> Signup and view all the answers

    What is the value of {5.23}?

    <p>0.23</p> Signup and view all the answers

    What is the relation between |x| and x in the interval 0 ≤ x?

    <p>x = |x|</p> Signup and view all the answers

    What is the meaning of [x] in mathematics?

    <p>The greatest integer less than or equal to x</p> Signup and view all the answers

    Which of the following is a property of the absolute value function?

    <p>|x + y| ≤ |x| + |y|</p> Signup and view all the answers

    What is the relation between {x} and x in the interval 0 ≤ x?

    <p>x = {x} + [x]</p> Signup and view all the answers

    What is the range of the fractional part of a number?

    <p>0 ≤ {x} &lt; 1</p> Signup and view all the answers

    What is the value of [x] if x = 3.14?

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

    What is the value of |x| if x = -5?

    <p>5</p> Signup and view all the answers

    What is the relation between |x| and |y| if x = y?

    <p>|x| = |y|</p> Signup and view all the answers

    What is the value of {x} if x = 2.71?

    <p>0.71</p> Signup and view all the answers

    What is the value of [x] if x = -2.5?

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

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