2. HW Answers:
D: {x|x ≠ -5}
VA: none
Holes: (-5, -10)
HA: none
Slant: y = x – 5 2 2
D: {x|x ≠ -1, 2}
VA: x = 2
Holes: (-1, 4/3)
HA: y = 2
Slant: None

3. HW Answers:
D: {x|x ≠ 4,1}
VA: x = 4, 1
Holes: none
HA: y = 1
Slant: none
D: {x|x ≠ 2, 6}
VA: x = 6
Holes: (2, -1/4)
HA: y = 0
Slant: none

4. HW Answers:
D: {x|x ≠ -3, -1}
VA: x = -3, -1
Holes: none
HA: y = 2
Slant: none
D: {x|x ≠ -2, -4}
VA: x = -4
Holes: (-2, -6)
HA: y = 3
slant: none

5. HW Answers:
D: {x|x ≠ -1}
VA: x = -1
Holes: none
HA: y = 0
Slant: none

6. Steps for graphing Rational Functions
1) Find zeros of P(x)
2) Find zeros of Q(x)
3) Common Zeros holes
Remaining Zeros of Q(x) Vertical asymptotes
Remaining Zeros of P(x) x-intercepts
4) Find Horizontal asymptotes by studying the limit
as x approaches , if none find the slant asymptote
5) Find the y-intercept by replacing x with zero.
6) Use sign analysis in the intervals separated by
vertical asymptotes and x-intercepts
7) Sketch the graph. It will not cross vertical asymptotes.
It can cross horizontal asymptotes but will approach it.

7. Ex1) Sketch the graph of the function:
Slant: x y

8. Ex2) Sketch the graph of the function:
Slant: x y

9. Ex3) Sketch the graph of the function:
Slant: x y

10. Sneedlegrits:
HW: Graphing Rational Functions