1. Vertical Asymptotes Y-intercepts of Rational Functions Horizontal Asymptotes Domain of Rational Functions Factoring when a = 1 Factoring when a>1 $ 100 $200 $300 $400 J ΣθPARδY ! Mαth math Mαth JΣθPARδY! was created by GradeAmathhelp.com Rational Functions/Factoring JΣθPARδY!

2. Vertical Asymptotes - 100 Determine the location of the vertical asymptote(s) of x = 2 J ΣθPARδY ! Mαth

3. Vertical Asymptotes - 200 Determine the location of the vertical asymptote(s) of J ΣθPARδY ! Mαth x = -5

4. Vertical Asymptotes - 300 Use the graph to determine the vertical asymptotes J ΣθPARδY ! Mαth x = -5

5. Vertical Asymptotes - 400 Use the table and graph to determine the vertical asymptote(s) J ΣθPARδY ! Mαth Vertical Asymptote at x = -4

6. Y-intercepts - 100 Find the y-intercept of the rational function J ΣθPARδY ! Mαth (0, 5)

7. Y-intercepts - 200 Find the y-intercept of the rational function J ΣθPARδY ! Mαth (0, -6)

8. Y-intercepts - 300 Find the y-intercept of the rational function J ΣθPARδY ! Mαth (0, 0.375)

9. Y-intercepts - 400 Find the y-intercept of the rational function J ΣθPARδY ! Mαth (0, 1.5)

10. Horizontal Asymptotes - 100 Determine the horizontal asymptote of the following rational function. J ΣθPARδY ! Mαth y = 0

11. Horizontal Asymptotes - 200 Determine the horizontal asymptote of the following rational function. J ΣθPARδY ! Mαth y = 6

12. Horizontal Asymptotes - 300 Determine the horizontal asymptote of the following rational function. J ΣθPARδY ! Mαth y = 1

13. Horizontal Asymptotes - 400 Determine the horizontal asymptote of the following rational function. J ΣθPARδY ! Mαth No Horizontal Asymptote

14. Domain - 100 What is the theoretical domain of the following rational function? J ΣθPARδY ! Mαth All real numbers except x = -6

15. Domain - 200 What is the theoretical domain of the following rational function? J ΣθPARδY ! Mαth All real numbers except x = 2

16. What is the theoretical domain of the following rational function? Domain - 300 J ΣθPARδY ! Mαth All real numbers except x = 1

17. Domain - 400 What is the practical domain of the rational equation J ΣθPARδY ! Mαth Practical domain can only be determined within a specific scenario. Context must be present in order to determine practical domain. The theoretical domain of this function is all real numbers except d = 0.

18. Factoring a = 1 - 100 Write the following in factored form J ΣθPARδY ! Mαth (x + 4)(x + 5)

19. Factoring a = 1 - 200 Write the following in factored form J ΣθPARδY ! Mαth (x – 4)(x + 3)

20. Factoring a = 1 - 300 Write the following in factored form J ΣθPARδY ! Mαth (x – 8)(x – 2)

21. Factoring a = 1 - 400 Write the following in factored form J ΣθPARδY ! Mαth (x + 6)(x – 6)

22. Factoring a > 1 - 100 Write the following in factored form J ΣθPARδY ! Mαth (2x + 1)(x – 3)

23. Factoring a > 1 - 200 Write the following in factored form J ΣθPARδY ! Mαth (3x + 1)(x – 4)

24. Factoring a > 1 - 300 Write the following in factored form J ΣθPARδY ! Mαth (5p + 9)(p – 2)

25. Factoring a > 1 - 400 Write the following in factored form J ΣθPARδY ! Mαth k(7k + 9)