This foldable is great for checking the understanding of the characteristics of Standard Rational Functions
. The functions are given in this form:
f(x) = p(x)/q(x)
where the rational function is the ratio of two polynomials
. Students must feel comfortable with Factoring and Simplifying Rational functions before attempting this activity.
Students are expected to identify the following characteristics WITHOUT THE USE OF A GRAPHING UTILITY:
► Points of Discontinuity
► Vertical Asymptote (x = #)
► Hole (as an ordered pair)
► Horizontal Asymptote (y = #)
► y-intercept (as an ordered pair)
► x-intercept (as an ordered pair)
► Write the Rational Function in Simplified Form
► Based on the above, match the function with an appropriate graph
As my students call them, "CLUES"
are given on the front of the foldable that students may utilize until the concept is mastered.
There are a total of 3 rational functions with 9 questions (above) each. Please note that Slant Asymptote is not part of this activity.
A suggested answer key is included.
My students have found this foldable very helpful and took it to heart. This foldable is great for Interactive Notebook.
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