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Graphing Linear Rational Functions A rational function is a function whose rule is the quotient of two polynomials.

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Presentation on theme: "Graphing Linear Rational Functions A rational function is a function whose rule is the quotient of two polynomials."— Presentation transcript:

1 Graphing Linear Rational Functions A rational function is a function whose rule is the quotient of two polynomials.

2 Graphing Linear Rational Functions

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7 GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS

8 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS

9 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS

10 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

11 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

12 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

13 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

14 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

15 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Lets graph …

16 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Lets graph …

17 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Lets graph …

18 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Lets graph …

19 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Lets graph …

20 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph…

21 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph… I like to get a few on either side close to the vertical asymptote…

22 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph… I like to get a few on either side close to the vertical asymptote…

23 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph… I like to get a few on either side close to the vertical asymptote…

24 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph… I like to get a few on either side close to the vertical asymptote…

25 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Now test a few values to see the rest of the graph… I like to get a few on either side close to the vertical asymptote…

26 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Now sketch a smooth curve thru your points getting close to the asymptote lines…

27 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Now sketch a smooth curve thru your points getting close to the asymptote lines…

28 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS

29 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS

30 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information:

31 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Graph your info …

32 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Graph your info …

33 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Graph your info …

34 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Graph your info …

35 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Get some points on either side of the vertical asymptote…

36 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Get some points on either side of the vertical asymptote…

37 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Get some points on either side of the vertical asymptote…

38 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Lets identify all of our critical information: Get some points on either side of the vertical asymptote…

39 Graphing Linear Rational Functions GENERAL FORMAT FOR LINEAR RATIONAL FUNCTIONS Now sketch a smooth curve thru your points getting close to the asymptote lines…

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