Graphing Rational Functions (Algebra 2)
Free printable Algebra 2 algebra worksheet on graphing rational functions: finding vertical and horizontal asymptotes, holes and x-intercepts, then sketching the curve.
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Algebra 2 · Math worksheet
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Algebra 2: Graphing Rational Functions
For each function, identify the vertical and horizontal asymptotes, any holes, and the x-intercepts, then sketch the curve. Draw asymptotes as dashed lines and remember the graph never crosses a vertical asymptote.
- 1.For f(x) = 3/(x + 1), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines). - 2.For f(x) = (x - 3)/(x - 4), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines). - 3.For f(x) = (2(x - 1))/(x + 3), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines). - 4.For f(x) = (x + 2)/((x - 2)(x + 1)), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines). - 5.For f(x) = ((x - 3)(x - 2))/((x - 3)(x - 4)), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines). - 6.For f(x) = 1/((x - 4)(x - 3)), state the vertical asymptote(s), horizontal asymptote, any holes and the x-intercept(s), then sketch the graph.
Sketch the graph on the grid (draw asymptotes as dashed lines).
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