Unit 2: Functions
Topic 2.13: Rational functions (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.13. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
11 mark
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A vertical asymptote occurs at x = a when:
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State the horizontal asymptote of (6x² − x)/(3x² + 2).
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Show that has vertical asymptotes at and .
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State the vertical and horizontal asymptotes of f(x) = (3x − 2)/(x + 4).
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A rational function with top degree 1 and bottom degree 1 has:
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The slant asymptote of (x² )/(x − 3) is found by:
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Sketch the key features of f(x) = (x + 4)/(x − 2): asymptotes and intercepts.
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Show that has a slant asymptote .
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Find the vertical asymptotes of g(x) = (x − 1)/(x² − 5x + 6).
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Horizontal asymptote of (x³ + 1)/(x² − 1):
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Determine all asymptotes of f(x) = (2x + 3)/(x² + x − 2).
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The vertical asymptote(s) of 1/(x² + 1) are:
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Find the oblique asymptote of f(x) = (x² + 2x − 3)/(x − 1).
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Find all asymptotes of f(x) = (x² − 4)/(x + 3).
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State the x- and y-intercepts of f(x) = (x² − 1)/(x + 2).
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f(x) = (3x² + 2)/(x). Find its asymptotes.
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