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Asymptotes of a rational function

Quiz by Sharyl Zarate

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8 questions
Show answers
  • Q1
    What is a vertical asymptote of a rational function?
    A vertical line where the function approaches positive or negative infinity
    A critical point of the function
    A point on the graph where the function is undefined
    A point where the function is continuous
    30s
  • Q2
    What is the vertical asymptote of the rational function f(x) = (5x^2 - 4x + 2)/(x - 3)?
    x = 3
    x = -2
    x = 5
    x = 4
    30s
  • Q3
    What is a hole in the graph of a rational function?
    A slant asymptote of the function
    A point where the function is continuous
    A point on the graph where the function is undefined, but can be simplified to eliminate the discontinuity
    A vertical asymptote of the function
    30s
  • Q4
    What is the horizontal asymptote of the rational function f(x) = (2x^2 + 1)/(3x^2 - 1)?
    y = 2/3
    y = -2/3
    y = 3/2
    y = 1/2
    30s
  • Q5
    What is an asymptote of a rational function?
    A value at which the function is continuous
    A point where the function is undefined
    A critical point of the function
    A line that the graph of the function approaches but never touches or crosses
    30s
  • Q6
    Which statement about asymptotes of a rational function is true?
    A rational function can have horizontal asymptotes but not vertical asymptotes.
    A rational function cannot have any asymptotes.
    b
    A rational function can have vertical asymptotes but not horizontal asymptotes.
    A rational function can have both horizontal and vertical asymptotes.
    30s
  • Q7
    What are the x-intercepts of the rational function f(x) = (x^2 - 9) / (x + 3)?
    -3
    c
    -3, 3, -1
    -3, 3
    -3, 1
    30s
  • Q8
    What are the y-intercepts of the rational function f(x) = (5x + 10) / (2x - 4)?
    c
    -5
    2
    5
    -2
    30s

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