Vertical Asymptotes Y-intercepts of Rational Functions Horizontal Asymptotes Domain of Rational Functions Factoring when a = 1 Factoring when a>1 $ 100.

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Presentation transcript:

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!

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Domain 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.

Factoring a = Write the following in factored form J ΣθPARδY ! Mαth (x + 4)(x + 5)

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

Factoring a = Write the following in factored form J ΣθPARδY ! Mαth (x – 8)(x – 2)

Factoring a = Write the following in factored form J ΣθPARδY ! Mαth (x + 6)(x – 6)

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

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

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

Factoring a > Write the following in factored form J ΣθPARδY ! Mαth k(7k + 9)