4.7$Graphing$Rational$Functions$$

35

4.7$Graphing$Rational$Functions$

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A"Practice!Understanding+Task! ! Part!I:!Seeing!Structure! For!each!function,!determine!intercepts,!domain,!asymptotes,!and!complete!a!sign!line.!Use!this! information!to!sketch!the!graph.! 1.!! ! = !

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7.!!What!observations!do!you!notice!about!the!various!graphs!from!Part!I?!! ! Part!II:!Seeing!More!Structure! 8.!!Determine!the!features!and!then!sketch!the!graphs!of!the!functions.!! ( a. ! ! = !

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b. !! ! = ! c.

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d. ! ! = ! e. ! ! = ! f.

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36 Equation:!

Roots:!

Equation:!

Roots:!

yQintercept:!

yQintercept:!

Vert.!Asymp.:!

Vert.!Asymp.:!

End!behavior:!

!

End!behavior:! !

Sign!Line!

Sign!Line!

!

Equation:!

Roots:!

! !

Equation:!

!

Equation:!

!

yQintercept:!

Vert.!Asymp.:!

Vert.!Asymp.:!

End!behavior:!

End!behavior:! !

Sign!Line!

Equation:!

Sign!Line!

Roots:!

yQintercept:!

yQintercept:!

Vert.!Asymp.:!

Vert.!Asymp.:!

End!behavior:!

End!behavior:! !

Sign!Line!

Roots:!

!

Roots:!

yQintercept:!

Roots:!

!

Equation:!

Equation:!

Sign!Line!

Roots:!

yQintercept:!

yQintercept:!

Vert.!Asymp.:!

Vert.!Asymp.:!

End!behavior:!

End!behavior:!

Sign!Line!

!

Sign!Line!

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