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Rational Functions/Factoring J PAR Y! M th J PAR Y! Vertical Asymptotes Y-intercepts of Rational Functions Horizontal Asymptotes Domain of Rational Functions – PowerPoint PPT presentation

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Title: Math JS?PARdY! was created by GradeAmathhelp.com


1
Rational Functions/Factoring JS?PARdY!
Vertical Asymptotes Y-intercepts of Rational Functions Horizontal Asymptotes Domain of Rational Functions Factoring when a 1 Factoring when agt1
100 100 100 100 100 100
200 200 200 200 200 200
300 300 300 300 300 300
400 400 400 400 400 400
Math JS?PARdY! was created by GradeAmathhelp.com
2
Vertical Asymptotes - 100
  • Determine the location of the vertical
    asymptote(s) of

Answer
x 2
3
Vertical Asymptotes - 200
  • Determine the location of the vertical
    asymptote(s) of

Answer
x -5
4
Vertical Asymptotes - 300
  • Use the graph to determine the vertical
    asymptotes

Answer
x -5
5
Vertical Asymptotes - 400
  • Use the table and graph to determine the vertical
    asymptote(s)

Answer
Vertical Asymptote at x -4
6
Y-intercepts - 100
  • Find the y-intercept of the rational function

Answer
(0, 5)
7
Y-intercepts - 200
  • Find the y-intercept of the rational function

Answer
(0, -6)
8
Y-intercepts - 300
  • Find the y-intercept of the rational function

Answer
(0, 0.375)
9
Y-intercepts - 400
  • Find the y-intercept of the rational function

Answer
(0, 1.5)
10
Horizontal Asymptotes - 100
  • Determine the horizontal asymptote of the
    following rational function.

Answer
y 0
11
Horizontal Asymptotes - 200
  • Determine the horizontal asymptote of the
    following rational function.

Answer
y 6
12
Horizontal Asymptotes - 300
  • Determine the horizontal asymptote of the
    following rational function.

Answer
y 1
13
Horizontal Asymptotes - 400
  • Determine the horizontal asymptote of the
    following rational function.

Answer
No Horizontal Asymptote
14
Domain - 100
  • What is the theoretical domain of the following
    rational function?

Answer
All real numbers except x -6
15
Domain - 200
  • What is the theoretical domain of the following
    rational function?

Answer
All real numbers except x 2
16
Domain - 300
  • What is the theoretical domain of the following
    rational function?

Answer
All real numbers except x 1
17
Domain - 400
  • What is the practical domain of the rational
    equation

Answer
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

Answer
(x 4)(x 5)
19
Factoring a 1 - 200
  • Write the following in factored form

Answer
(x 4)(x 3)
20
Factoring a 1 - 300
  • Write the following in factored form

Answer
(x 8)(x 2)
21
Factoring a 1 - 400
  • Write the following in factored form

Answer
(x 6)(x 6)
22
Factoring a gt 1 - 100
  • Write the following in factored form

Answer
(2x 1)(x 3)
23
Factoring a gt 1 - 200
  • Write the following in factored form

Answer
(3x 1)(x 4)
24
Factoring a gt 1 - 300
  • Write the following in factored form

Answer
(5p 9)(p 2)
25
Factoring a gt 1 - 400
  • Write the following in factored form

Answer
k(7k 9)
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