Rational Functions
Name __________
Match the correct function with the given graph.
#1.
#2.
#3.
#4.
Identify all vertical asymptotes of the given rational function.
#5. h(x)=
x3−5x2−12x+36
x3+4x2−25x−100
#6. f(x)=
x3+3x2−10x−24
x+5
#7. h(x)=
x2−9x+20
x−3
#8. h(x)=
x3+6x2−x−6
x3−9x2+24x−16
#9. f(x)=
x−3
x2+x−2
#10. f(x)=
x+6
x3+4x2
Identify the horizontal asymptote (if it exists) of the given rational function.
#11. f(x)=
-4x3+20x2+144x−720
x3−8x2+20x−16
#12. g(x)=
2x3+20x2+64x+64
-x3−13x2−48x−36
#13. f(x)=
-5x2−25x+30
5x2−5x−60
#14. s(x)=
-x2−3x+10
-2x+10
#15. g(x)=
-x3−4x2+27x+90
-2x2+8x−6
#16. s(x)=
3x−6
2x+8
Identify the oblique asymptote (if it exists) of the given rational function.
#17. h(x)=
x3+2x2−29x−30
x2−25
#18. s(x)=
3x4−3x3−39x2+3x+36
-3x3+21x2−30x
#19. h(x)=
-6x2−36x−30
-4x−8
#20. g(x)=
-6x3−30x2+54x+270
3x2−3x−18
#21. s(x)=
-6x+24
5x−5
#22. g(x)=
-4x2−8x+60
4x+4
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