http://www.ck12.org Chapter 2. Polynomials and Rational Functions
3.
f(x) =^3 x(^3) + 4 x− 2 x− 4
40 (x− 3 )(x− 4 ) =
3
40 x+21
40 +
113 x− 256
40 (x− 3 )(x− 4 )Practice
Use the function below for 1-7.
f(x) =^2 (x 8 +(x^4 −)( 1 x)− (^2) (^3 x)(+x 2 +)^1 )
- Identify the vertical asymptotes and holes for the function.
- 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. - Identify any horizontal or oblique asymptotes for the function.
- Describe the end behavior of the function.
- Find the zeroes of the function.
- Find they-intercept of the function.
- Use the information from 1-6 to sketch the function.
Use the function below for 8-14.
g(x) = (x(^2) − 9 )(x (^2) − 4 )
5 (x− 2 )^2 (x+ 1 )^2
- Identify the vertical asymptotes and holes for the function.