Math 1050—4 Midterm Exam #1
February 13, 2015
• No notes, books, etc. are allowed.
• Answer the questions in the spaces provided.
• You have 50 minutes to complete this exam.
• Good luck!
Name:
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For #1—3, decide whether the given sequence is arithmetic, geometric, or neither.
1. 1, 1,2,3, 5,8,...
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2.
d
3. 3,—9,27, —81,...
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2.
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3.
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tric
e c’1
U
1) as an integer in standard form.
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4 as an integer in standard form.
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6. Write
-
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5
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c
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6.
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h
ça
=
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7. What is the 72nd term in the sequence 5, 15, 45, 135,
.
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5(3}I)
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8. What is the 39th term in the sequence 6, 16, 26, 36,...? (Your answer should be an
integer in standard form.)
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8._______
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9. What is the sum of the first 30 terms in the sequence 3,6,9, 12,.
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9.________
10. What does the following series equal: 8 + 2 +
+
+
...?
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11. A bookstore has 9,000 books for sale. It wants to rate its 20 best books, from first to
twentieth. How many different rankings are possible?
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os
fo
01000
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12. A bookstore store wants to arrange their 9,000 board games. One option is to order
them alphabetically. How m1
1 different ways could they order their books?
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13. A bookstore wants fo choose 30 of its 9,000 books tojut on a summer reading list.
How many ways could the store choose 30 of its books?
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14. Tracy goes to a bookstore to buy three books: a classic, a nonfiction, and a fantasy.
She narrows her options down to 5 classics, 3 nonfiction, and 6 fantasy books. How
many different combinations of three books could she buy if she buys one book from
each category?
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15. What is (12)? (Your answer should be a natural number in standard form.)
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16. If f(x)
=
+
5 + 9 and g(x)
x
=
22Q
15.
35 + 2, then what is g o
x
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17. What is the implied domain of f(x)
=
4
9x
— 5x + 1?
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17.____
18. What is the implied domain of
7
33x
— 2x
4+6
?
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Below is the graph of a function f(x). Use this graph to answer questions #19—23.
4
(z)
3
2
2
1
2
3
4
5
6
7
8
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19. What isf(4)?
20. What is the domain of f?
21. What is the range of f?
19._—
=
..
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20._____
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22. What are the x-intercepts of the graph of f?
23. What is the y-intercept of the graph of f?
Page 4
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21.
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23.
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For #26—3 1, the shape of the graph is important; tic marks are not.
26. Graph
id.
29. Graph x
.
3
/
//
/
27. Graph f(x)
=
/
30. Graph
3.
(of
)
31. Graph—k.
28. Graphx
.
2
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Page 6
For #32 and #33, be precise—the shape of the graph is not the only important thing.
32. Graph g : [—1, 2)
—
R where g(x)
=
.
3
x
8
c)
6
4
2
—4
2
33. Graphh : {2,3,6}
—
Rwhereh(x)
=
4
6—x.
8
6
(2,4)
4
0
2
(c
2
Page 7
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