Gr 11 Math Ch 5: Hyperbolic Functions
37 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 effect of q > 0 on the graph of y = a/x + q?

  • The graph is shifted vertically upwards by q units. (correct)
  • The graph is shifted horizontally to the left by q units.
  • The graph is shifted horizontally to the right by q units.
  • The graph is shifted vertically downwards by q units.

    • What is the vertical asymptote of the function y = a/x + q?

  • The line x = q.
  • The line y = a.
  • The line y = q.
  • The line x = 0. (correct)

    • What happens to the graph of y = a/x + q when a > 1?

  • The graph remains the same.
  • The graph moves further away from the axes. (correct)
  • The graph moves closer to the axes.
  • The graph becomes a straight line.

    • What is the effect of p > 0 on the graph of y = a/(x + p) + q?

    <p>The graph is shifted horizontally to the left by p units.</p> Signup and view all the answers

    What is the domain of the function y = a/(x + p) + q?

    <p>All real numbers except x = -p.</p> Signup and view all the answers

    What is the range of the function y = a/(x + p) + q?

    <p>All real numbers except y = q.</p> Signup and view all the answers

    What happens to the graph of y = a/x + q when a tends to 0?

    <p>The graph moves closer to the axes.</p> Signup and view all the answers

    What is the effect of a < 0 on the graph of y = a/x + q?

    <p>The graph lies in the second and fourth quadrants.</p> Signup and view all the answers

    What is the effect of a horizontal shift on the graph of y = a/(x + p) + q?

    <p>It does not change the shape of the graph.</p> Signup and view all the answers

    What is the relationship between a and the quadrant of the graph of y = a/x + q?

    <p>a &gt; 0 implies the graph lies in the first and third quadrants.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when p = 0?

    <p>It is the same as the graph of y = a/x + q.</p> Signup and view all the answers

    What happens to the graph of y = a/x + q when a approaches infinity?

    <p>It gets further away from the y-axis.</p> Signup and view all the answers

    What is the effect of q on the graph of y = a/x + q?

    <p>It shifts the graph vertically.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when a < -1?

    <p>It is further away from the x-axis than the graph of y = -1/(x + p) + q.</p> Signup and view all the answers

    What can be said about the graph of y = a/x + q when x = -p?

    <p>The graph is undefined.</p> Signup and view all the answers

    What is the vertical asymptote of the graph of y = a/(x + p) + q?

    <p>The line x = -p.</p> Signup and view all the answers

    Which of the following statements is true about the graph of y = a/x + q when a < 0 and q > 0?

    <p>The graph is shifted upwards by q units and lies in the second and fourth quadrants.</p> Signup and view all the answers

    What is the effect of a > 1 on the graph of y = a/x + q?

    <p>The graph moves further away from the axes than y = 1/x.</p> Signup and view all the answers

    What is the effect of p > 0 on the graph of y = a/(x + p) + q?

    <p>The graph is shifted to the left by p units.</p> Signup and view all the answers

    What is the relationship between the graph of y = a/x + q and the line y = q?

    <p>The line y = q is a horizontal asymptote.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when x = -p?

    <p>The function is undefined.</p> Signup and view all the answers

    What is the effect of a < -1 on the graph of y = a/x + q?

    <p>The graph moves further away from the axes than y = -1/x.</p> Signup and view all the answers

    What is the relationship between the graph of y = a/x + q and the graph of y = a/(x + p) + q?

    <p>The two graphs have different vertical asymptotes.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when p < 0?

    <p>The graph is shifted to the right by p units.</p> Signup and view all the answers

    What is the effect of a positive value of p on the graph of y = a/(x + p) + q?

    <p>The graph is shifted horizontally to the left.</p> Signup and view all the answers

    What happens to the graph of y = a/x + q as a approaches infinity?

    <p>The graph moves further away from the axes.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when q < 0?

    <p>The graph is shifted vertically downwards.</p> Signup and view all the answers

    What is the effect of a negative value of a on the graph of y = a/x + q?

    <p>The graph lies in the second and fourth quadrants.</p> Signup and view all the answers

    What can be said about the graph of y = a/x + q when x = 0?

    <p>The graph is undefined.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when q = 0?

    <p>The graph passes through the origin.</p> Signup and view all the answers

    What is the relationship between the graph of y = a/x + q and the graph of y = -a/x - q?

    <p>They are reflections about the x-axis.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when a = 1?

    <p>The graph is a horizontal shift of y = 1/x.</p> Signup and view all the answers

    What happens to the graph of y = a/x + q when a approaches 0?

    <p>The graph becomes closer to the axes than y = 1/x.</p> Signup and view all the answers

    What is the effect of a horizontal shift on the graph of y = a/(x + p) + q?

    <p>The graph shifts horizontally.</p> Signup and view all the answers

    What is the relationship between a and the quadrants of the graph of y = a/x + q?

    <p>For a &lt; 0, the graph lies in the second and fourth quadrants.</p> Signup and view all the answers

    What is true about the graph of y = a/(x + p) + q when p is negative?

    <p>The graph shifts to the left.</p> Signup and view all the answers

    What is the horizontal asymptote of the graph of y = a/(x + p) + q?

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

    More Like This

    Hyperbolic Functions Quiz
    5 questions

    Hyperbolic Functions Quiz

    WiseHeliodor avatar
    WiseHeliodor
    Hyperbolic Functions
    30 questions

    Hyperbolic Functions

    NourishingRoseQuartz avatar
    NourishingRoseQuartz
    Gr 11 Wiskunde Hfst 5: Hiperboliese Funksies
    37 questions

    Gr 11 Wiskunde Hfst 5: Hiperboliese Funksies

    GreatestTiger avatar
    GreatestTiger
    Gr 10 Math Ch 5: Hyperbolic Function
    32 questions

    Gr 10 Math Ch 5: Hyperbolic Function

    RaptOganesson avatar
    RaptOganesson
    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser