CK-12-Pre-Calculus Concepts

2.7. Holes in Rational Functions http://www.ck12.org If you see a hollow circle on a graph, what does that mean? Without graphi ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Sketch the following rational functions. 13.f(x) =x^3 +x^42 x− ...

2.8. Zeroes of Rational Functions http://www.ck12.org 2.8 Zeroes of Rational Functions Here you will revisit how to find zeroes ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Example B Identify the zeroes, holes andyintercepts of the fol ...

2.8. Zeroes of Rational Functions http://www.ck12.org f(x) =^6 x^3 −^7 x−x^21 −x+^2 Identify the zeroes and holes of the follow ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 2.9 Vertical Asymptotes Here you will learn to recognize when ...

2.9. Vertical Asymptotes http://www.ck12.org There are two discontinuities: one is a hole and one is a vertical asymptote. The h ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Draw the vertical asymptotes for the following function. f(x) ...

2.9. Vertical Asymptotes http://www.ck12.org The holes are at(− 2 , 256 ),( 3 ,^1225 ). Practice Write a function that fits the ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 14.j(x) =xx (^22) −+ 63 xx−− 164 15.k(x) =x (^3) +^2 x 4 −x (^ ...

2.10. Horizontal Asymptotes http://www.ck12.org 2.10 Horizontal Asymptotes Here you will learn to identify when horizontal asymp ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Sometimes functions flatten out and other times functions incr ...

2.10. Horizontal Asymptotes http://www.ck12.org Example B Identify the vertical and horizontal asymptotes of the following ratio ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Guided Practice Identify the horizontal asymptotes of the fol ...

2.10. Horizontal Asymptotes http://www.ck12.org a. The degrees of the numerator and the denominator are equal so the horizontal ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Horizontal asymptote aty= 0 Write a function that fits the ...

2.11. Oblique Asymptotes http://www.ck12.org 2.11 Oblique Asymptotes Here you will extend your knowledge of horizontal and verti ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Oblique asymptotesare these slanted asymptotes that show exact ...

2.11. Oblique Asymptotes http://www.ck12.org Ahorizontal asymptoteis a flat dotted line that indicates where a function goes asx ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 5. 6. 7. 8. ...