CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

2.13. Graphs of Rational Functions by Hand http://www.ck12.org



  1. What values will you use the sign test with in order to accurately sketch around the vertical asymptotes? Com-
    plete the sign test for these values.

  2. Identify any horizontal or oblique asymptotes for the function.

  3. Describe the end behavior of the function.

  4. Find the zeroes of the function.

  5. Find they-intercept of the function.

  6. Use the information from 8-13 to sketch the function.

  7. Graph the function below by hand.


h(x) =x

(^3) + 5 x (^2) + 2 x− 8
x^2 − 3 x− 10
Polynomials and rational functions were explored. Special features of rational functions such as holes and asymp-
totes were introduced. Graphing rational functions by hand, which utilized work from many concepts, concluded
the chapter.

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