Rational Functions Quiz
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Questions and Answers

What is an asymptote of a rational function?

  • A point where the function is undefined
  • The x-intercept of the function
  • The y-intercept of the function
  • A line that the graph approaches but does not touch (correct)

    • What does finding the zeroes of a rational function involve?

  • Identifying the points where the function intersects the x-axis
  • Solving for the values of the variable that make the function equal to zero (correct)
  • Calculating the slope of the function at critical points
  • Determining the end behavior of the function

    • What is the relationship between intercepts and zeroes of a rational function?

  • The x-intercepts are the asymptotes of the function
  • The y-intercepts are the asymptotes of the function
  • The y-intercepts are the zeroes of the function
  • The x-intercepts are the zeroes of the function (correct)

    • What is the relationship between the intercepts and zeroes of a rational function?

    <p>Intercepts are the points where the graph crosses the x-axis, and zeroes are the values of x that make the function equal to zero.</p> Signup and view all the answers

    What does finding the asymptotes of a rational function involve?

    <p>Identifying the values of x for which the function approaches positive or negative infinity.</p> Signup and view all the answers

    What is an asymptote of a rational function?

    <p>A line that the graph of the function approaches but does not touch as x approaches positive or negative infinity.</p> Signup and view all the answers

    Study Notes

    Asymptotes of a Rational Function

    • An asymptote of a rational function is a line that the graph approaches as the input (x) increases or decreases without bound, but never reaches.
    • Finding the asymptotes of a rational function involves determining the values of x that make the denominator equal to zero.

    Zeroes of a Rational Function

    • Finding the zeroes of a rational function involves setting the numerator equal to zero and solving for x.
    • The zeroes of a rational function are the values of x that make the function equal to zero.

    Relationship between Intercepts and Zeroes

    • The x-intercepts of a rational function are the same as the zeroes of the function.
    • The y-intercept of a rational function is the value of the function when x is equal to zero.
    • The intercepts and zeroes of a rational function are related in that they are the points at which the graph of the function crosses the x-axis or y-axis.

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    Description

    Test your knowledge of rational functions with this quiz on asymptotes, intercepts, and zeroes. Explore the definitions and relationships between these key concepts in the world of rational functions.

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