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No Work ⇔ No Points
Use Pencil Only ⇔ Be Neat & Organized
1. Consider f(x) = x3 − 3x2 − 6x + 8 ,
(a) (1 point) What is the number of maximum zeros?
(a)
(b) (2 points) Discuss the number of positive, negative, and complex zeros. Show
your answer in a chart.
(b)
(c) (2 points) List all possible rational zeros.
(c)
(d) (2 points) Show that −3 is a lower bound.
(d)
(e) (3 points) Find all zeros for this function.
(e)
Page 1 of 4
Study Guide 16
Total Points: 50
(f) (3 points) Graph f (x). Clearly mark all intercepts.
y
x
2. Consider x4 − 2x3 + 10x2 − 18x + 9 = 0 ,
(a) (3 points) Discuss the number of positive, negative, and complex zeros. Show
your answer in a chart.
(a)
(b) (2 points) List all possible rational zeros.
(b)
(c) (2 points) Show that 2 is an upper bound.
(c)
(d) (4 points) Find all zeros including complex zeros if there are any.
(d)
Page 2 of 4
Study Guide 16
Total Points: 50
3. Consider f(x) =
x2 − 4
x2
,
(a) (2 points) Show that this is an even function.
(b) (2 points) Rewrite f (x) using factoring, then find its domain.
(b)
(c) (2 points) Find all its intercepts.
(c)
(d) (2 points) Find all its asymptotes .
(d)
(e) (3 points) Graph f (x).
y
x
(f) (2 points) Find intervals where f (x) ≤ 0.
(f)
Page 3 of 4
Study Guide 16
Total Points: 50
4. Consider f(x) =
4
x2 − 3x − 4
,
(a) (2 points) Rewrite f (x) using factoring, then find its domain.
(a)
(b) (3 points) Find all its intercepts.
(b)
(c) (3 points) Find all its asymptotes .
(c)
(d) (3 points) Graph f (x).
y
x
(e) (2 points) Find intervals where f (x) ≥ 0.
(e)
Page 4 of 4
Study Guide 16
Total Points: 50
No Work ⇔ No Points
Use Pencil Only ⇔ Be Neat & Organized
x+4
1. Consider f (x) =
x+1
,
(a) (2 points) Find all its intercepts.
(a)
(b) (2 points) Find all its asymptotes .
(b)
(c) (3 points) Graph f (x).
y
x
(d) (2 points) Find intervals where f (x) ≤ 0.
(d)
Page 1 of 4
Study Guide 17
Total Points: 50
2. (2 points) Evaluate: 8!
2.
3. (2 points) Evaluate: 9! − 6!
3.
4. (2 points) Evaluate: 7! + 3!
4.
5. (2 points) Evaluate: 3! · 5!
5.
6. (2 points) Evaluate:
7!
3!
6.
7. (2 points) Evaluate:
9!
4! · 5!
7.
Page 2 of 4
Study Guide 17
Total Points: 50
8. (2 points) Evaluate: 9C4
8.
9. (2 points) Evaluate:
12!
3! · 5! · 4!
9.
10. (2 points) Evaluate: 10C3
10.
(
)4
11. (3 points) Expand: x + y , make sure to box your final answer.
(
)5
12. (4 points) Expand: x − y , make sure to box your final answer.
Page 3 of 4
Study Guide 17
Total Points: 50
13. (4 points) Find the first four terms of (x2 − 2y3)9, make sure to box your final
answer.
(
14. (4 points) Find the 5th term of x − y2
)10
14.
(
)12
15. (4 points) Find the 6th term of x3 − y8
15.
(
16. (4 points) Find the middle term of 4x2 − 5y6
)10
16.
Page 4 of 4
Study Guide 17
Total Points: 50

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Anonymous

Great study resource, helped me a lot.