1. 0.55 /0.55 points  |   Previous Answers WaneAC5 5.4.001. My Notes  | Question Part Points Submissions Used Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.] f ( x ) =  x 2  +  2 x  +  1 (a) Indicate the  x - and  y -intercepts. (If an answer does not exist, enter DNE.) x -intercept ( x ,  y ) = y -intercept ( x ,  y ) = (b) Indicate any extrema. (If an answer does not exist, enter DNE.) ( x ,  y ) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) ( x ,  y ) =  (d) Indicate the behavior near points where the function is not defined. y →  + ∞  as  x →  0 y →  0 as  x →  −1 y →  + ∞  as  x →  −1 y →  + ∞  as  x →  1 (e) Indicate the behavior at infinity. y →  − ∞  as  x → ± ∞ y →  − ∞  as  x →  − ∞ ;  y →  + ∞  as  x →  + ∞ y →  + ∞  as  x →  − ∞ ;  y →  − ∞  as  x →  + ∞ y →  −1 as  x → ± ∞ y →  + ∞  as  x → ± ∞ (a) Indicate the  x - and  y -intercepts. (Order your answers from smallest to largest  x . If an answer does not exist, enter DNE.) x -intercept ( x ,  y ) = x -intercept ( x ,  y ) = x -intercept ( x ,  y ) = y -intercept ( x ,  y ) = (b) Indicate any extrema. (Order your answers from smallest to largest  x . If an answer does not exist, enter DNE.) ( x ,  y ) = ( x ,  y ) = ( x ,  y ) = ( x ,  y ) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) ( x ,  y ) =  (d) Indicate the behavior near points where the function is not defined. y →  + ∞  as  x →  0 y →  0 as  x → ± 6 y →  + ∞  as  x → ± 6 y →  + ∞  as  x → ± 3 (e) Indicate the behavior at infinity. y →  + ∞  as  x → ± ∞ y →  − ∞  as  x →  − ∞ ;  y →  + ∞  as  x →  + ∞ y →  − ∞  as  x → ± ∞ y →  + ∞  as  x →  − ∞ ;  y →  − ∞  as  x →  + ∞ (a) Indicate the  x - and  y -intercepts. (Order your answers from smallest to largest  x . If an answer does not exist, enter DNE.) x -intercept ( x ,  y ) = x -intercept ( x ,  y ) = x -intercept ( x ,  y ) = y -intercept ( x ,  y ) = (b) Indicate any extrema. (Order your answers from smallest to largest  x . If an answer does not exist, enter DNE.) ( x ,  y ) = ( x ,  y ) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) ( x ,  y ) =  (d) Indicate the behavior near points where the function is not defined. y →  + ∞  as  x →  0 y →  0 as  x → ± 3 y →  + ∞  as  x → ± 3 y →  + ∞  as  x → ± 1 (e) Indicate the behavior at infinity. y →  + ∞  as  x → ± ∞ y →  − ∞  as  x →  − ∞ ;  y →  + ∞  as  x →  + ∞ y →  − ∞  as  x → ± ∞ y →  + ∞  as  x →  − ∞ ;  y →  − ∞  as  x →  + ∞ (a) Indicate the  x - and  y -intercepts. (If an answer does not exist, enter DNE.) x -intercept ( x ,  y ) = y -intercept ( x ,  y ) = (b) Indicate any extrema. (Order your answers from smallest to largest  x . If an an.

1. 1.
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/0.55 points
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Previous Answers
WaneAC5 5.4.001.
My Notes |
Question Part
Points
Submissions Used

2. Sketch the graph of the given function. Check your sketch using
technology. HINT [See Example 1.]
f
(
x
) =
x
2
+
2
x
+
1
(a) Indicate the
x
- and
y
-intercepts. (If an answer does not exist, enter DNE.)
x
-intercept
(
x
,
y
) =
y
-intercept

3. (
x
,
y
) =
(b) Indicate any extrema. (If an answer does not exist, enter
DNE.)
(
x
,
y
) =
(c) Indicate any points of inflection. (If an answer does not
exist, enter DNE.)
(
x
,
y
) =
(d) Indicate the behavior near points where the function is not
defined.
y

4. →
+
∞
as
x
→
0
y
→
0 as
x
→
−1
y
→
+
∞
as
x
→
−1
y
→
+
∞
as
x
→

5. 1
(e) Indicate the behavior at infinity.
y
→
−
∞
as
x
→
±
∞
y
→
−
∞
as
x
→
−
∞
;
y
→
+
∞
as
x
→
+

6. ∞
y
→
+
∞
as
x
→
−
∞
;
y
→
−
∞
as
x
→
+
∞
y
→
−1 as
x
→
±
∞
y

7. →
+
∞
as
x
→
±
∞
(a) Indicate the
x
- and
y
-intercepts. (Order your answers from smallest to largest
x
. If an answer does not exist, enter DNE.)
x
-intercept
(
x
,
y
) =
x
-intercept

8. (
x
,
y
) =
x
-intercept
(
x
,
y
) =
y
-intercept
(
x
,
y
) =
(b) Indicate any extrema. (Order your answers from smallest to
largest
x
. If an answer does not exist, enter DNE.)

9. (
x
,
y
) =
(
x
,
y
) =
(
x
,
y
) =
(
x
,
y

10. ) =
(c) Indicate any points of inflection. (If an answer does not
exist, enter DNE.)
(
x
,
y
) =
(d) Indicate the behavior near points where the function is not
defined.
y
→
+
∞
as
x
→
0
y
→
0 as
x
→
±
6

11. y
→
+
∞
as
x
→
±
6
y
→
+
∞
as
x
→
±
3
(e) Indicate the behavior at infinity.
y
→
+
∞
as
x
→
±

12. ∞
y
→
−
∞
as
x
→
−
∞
;
y
→
+
∞
as
x
→
+
∞
y
→
−
∞
as
x
→
±

13. ∞
y
→
+
∞
as
x
→
−
∞
;
y
→
−
∞
as
x
→
+
∞
(a) Indicate the
x
- and
y
-intercepts. (Order your answers from smallest to largest
x
. If an answer does not exist, enter DNE.)

14. x
-intercept
(
x
,
y
) =
x
-intercept
(
x
,
y
) =
x
-intercept
(
x
,
y
) =
y
-intercept

15. (
x
,
y
) =
(b) Indicate any extrema. (Order your answers from smallest to
largest
x
. If an answer does not exist, enter DNE.)
(
x
,
y
) =
(
x
,
y
) =
(c) Indicate any points of inflection. (If an answer does not
exist, enter DNE.)

16. (
x
,
y
) =
(d) Indicate the behavior near points where the function is not
defined.
y
→
+
∞
as
x
→
0
y
→
0 as
x
→
±
3
y
→
+
∞

17. as
x
→
±
3
y
→
+
∞
as
x
→
±
1
(e) Indicate the behavior at infinity.
y
→
+
∞
as
x
→
±
∞
y
→
−

18. ∞
as
x
→
−
∞
;
y
→
+
∞
as
x
→
+
∞
y
→
−
∞
as
x
→
±
∞
y
→
+

19. ∞
as
x
→
−
∞
;
y
→
−
∞
as
x
→
+
∞
(a) Indicate the
x
- and
y
-intercepts. (If an answer does not exist, enter DNE.)
x
-intercept
(
x
,
y

20. ) =
y
-intercept
(
x
,
y
) =
(b) Indicate any extrema. (Order your answers from smallest to
largest
x
. If an answer does not exist, enter DNE.)
(
x
,
y
) =
(
x
,
y
) =
(c) Indicate any points of inflection. (If an answer does not

21. exist, enter DNE.)
(
x
,
y
) =
(d) Indicate the behavior near points where the function is not
defined.
y
→
+
∞
as
x
→
0
y
→
0 as
x
→
0
y
→
−
∞
as
x

22. →
0
y
→
+
∞
as
x
→
1
(e) Indicate the behavior at infinity.
y
→
−
∞
as
x
→
±
∞
y
→
−
∞
as
x
→
−

23. ∞
;
y
→
+
∞
as
x
→
+
∞
y
→
1 as
x
→
±
∞
y
→
+
∞
as
x
→
−
∞
;

24. y
→
−
∞
as
x
→
+
∞
y
→
+
∞
as
x
→
±
∞
(a) Indicate the
t
- and
y
-intercepts. (If an answer does not exist, enter DNE.)
t
-intercept

25. (
t
,
y
) =
y
-intercept
(
t
,
y
) =
(b) Indicate any extrema. (Order your answers from smallest to
largest
t
. If an answer does not exist, enter DNE.)
(
t
,
y
) =
(
t
,
y

26. ) =
(
t
,
y
) =
(c) Indicate any points of inflection. (If an answer does not
exist, enter DNE.)
(
t
,
y
) =
(d) Indicate the behavior near points where the function is not
defined.
y
→
+
∞
as
t
→
0
y
→

27. −
∞
as
t
→
−1
+
and as
t
→
1
−
.
y
→
+
∞
as
t
→
−1
−
and as
t
→
1
+
.
y

28. →
+
∞
as
t
→
−2
+
and as
t
→
2
+
.
y
→
−
∞
as
t
→
−2
−
and as
t
→
2
−
.
y

29. →
+
∞
as
t
→
−1
+
and as
t
→
1
+
.
y
→
−
∞
as
t
→
−1
−
and as
t
→
1
−
.
y

30. →
−
∞
as
t
→
−2
+
and as
t
→
2
+
.
y
→
∞
as
t
→
−2
−
and as
t
→
2
−
.
(e) Indicate the behavior at infinity.
y

31. →
+
∞
as
t
→
±
∞
y
→
−
∞
as
t
→
−
∞
;
y
→
+
∞
as
t
→
+
∞
y

32. →
−
∞
as
t
→
±
∞
y
→
+
∞
as
t
→
−
∞
;
y
→
−
∞
as
t
→
+
∞

33. +
C
+
C
+
C
+
C
+
C

34. +
C
+
C
+
C
+
C

35. (b) Use the answer to part (a) to estimate the online social
group membership midway through
2008
.
M
(
3.5
) =
[removed]
million members