Math 1050-5
Babenko V.
September, 2014
Practice Test 1
Name:
UID#:
This is a closed book Test. No books, laptops, or messaging are permitted. NO calculators
are allowed. You have 12 problems, they are equal in weight. The entire exam is worth 12
points. For full credits show all work! Box your answer so it is easy to locate. You have
50 minutes.
GOOD LUCK!!!
1
1. Decide whether the given sequence is arithmetic, geometric, or neither.
a) 2, 8, 10, 12, ...
b) 3, 7, 12, 18, ...
c) 2, −4, −10, −16, ...
2. Find
a)
3
?
i2 =
i=1
b)
50
?
3=
i=1
c)
50
?
i=
i=1
3. a) Is the picture below the graph of a function?
2
3. b) Does this function have an inverse or not?
3. c) Describe the transformations compared to the base graph.
g(x) = 5(x − 1)3 + 5
3
4. a) What is the 53rd term in the sequence 3, 12, 48, 192, ... ?
4. b) What is the 15th term in the sequence 3, 13, 23, 33, ...?
5. a) What is the sum of the first 20 terms of the sequence 0, 2, 4, 6, ...?
5. b) What does the following series equal: 7 +
4
7
4
+
7
16
+
7
64
+ ...?
6. a) A library wants to choose 30 of its 8,000 books to put on a summer reading list.
How many ways could the library choose 30 of its books?
6. b) A library has 8,000 books, and it wants to rank its 20 best books, from first to
twentieth. How many different rankings are possible?
7. A library wants to buy three books: an adventure book, a nonfiction book, and a
pamphlet on health issues. The library staff has narrowed its options down to four different
choices for which adventure book to buy, five choices for which nonfiction book to buy, and
three options for which pamphlet on health issues to buy. How many different combinations
of three books could they buy?
8. a) A library wants to arrange their 8,000 books in an order One option is to order
the books alphabetically, but how many different ways could they order their books?
9
8. b) What is ( )? (Your answer should be a natural number in standard form.)
6
5
9. If f (x) = x200 + 3 and g(x) = x300 + 2, then what is (f ◦ g)(x)?
10. a) What is the implied domain of f (x) = 5x5 − 35x?
10. b) What is the implied domain of g(x) =
10. c) Simplify the expression:
11. f (x) =
3x+1
.
x−5
√
48
Find inverse function.
6
2x2 +3x−7
?
5x−7
12. Below is the graph of a function f (x). Use this graph to answer questions.
a) What is f(5)?
b) What is the domain of f ?
c) What is the range of f ?
d) What are the x-intercepts of the graph of f ?
e) What is the y-intercept of the graph of f ?
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Total
7
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