Function
30 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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 (D)</p> Signup and view all the answers

What is the value of [1.34]?

<p>1 (A)</p> Signup and view all the answers

What is the value of {4.92}?

<p>0.92 (D)</p> Signup and view all the answers

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

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

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

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

What is the set of real numbers denoted by?

<p>R (A)</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 (A)</p> Signup and view all the answers

What is the set of positive integers denoted by?

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

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

<p>Qc (C)</p> Signup and view all the answers

What does |x| represent?

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

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

<p>Multiplicativity (D)</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 (D)</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 (A)</p> Signup and view all the answers

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

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

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

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

What is the value of [–4.57]?

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

What is the value of {5.23}?

<p>0.23 (D)</p> Signup and view all the answers

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

<p>x = |x| (C)</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 (A)</p> Signup and view all the answers

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

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

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

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

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

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

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

<p>3 (D)</p> Signup and view all the answers

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

<p>5 (A)</p> Signup and view all the answers

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

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

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

<p>0.71 (D)</p> Signup and view all the answers

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

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

More Like This

Absolute Value Inequalities
12 questions

Absolute Value Inequalities

CommendableAmethyst avatar
CommendableAmethyst
Absolute Value Equations
6 questions
Algebra 1.4: Solving Absolute Value Equations
17 questions
Solving Absolute Value Equations
4 questions

Solving Absolute Value Equations

WellPositionedLimeTree9589 avatar
WellPositionedLimeTree9589
Use Quizgecko on...
Browser
Browser