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Transcript
```Study Island - Functions
Generation Date: 10/18/2012
Generated By: Amanda Manuel
Patterns
1. The first three patterns of a sequence of dots is shown below.
If the pattern continues indefinitely, which of the following expressions can be used to determine the number of
dots in the nth term of the sequence?
A. n(n + 1)
B. 3n
C. n2 + 2
D. n(n + 2)
Patterns
2. All points from which of the following patterns would be contained on the given graph?
A. -2 , -4 , -6 , -8 , ...
B. 2 , 4 , 6 , 8 , ...
C. 3 , 6 , 9 , 12 , ...
D. 4 , 8 , 12 , 16 , ...
Patterns
3. The first five terms of a sequence are given below.
26 , 29 , 32 , 35 , 38 , ...
Determine which of the following formulas gives the nth term of this sequence.
A. 28 - 2n
B. 24 + 2n
C. 23 + 3n
D. 29 - 3n
Patterns
4. What is the ninth term of the pattern below?
11, 26, 41, 56, ...
A. 139
B. 131
C. 1,211
D. 51
Relations & Functions
5. Which of the following relations is NOT a function?
A. (-4, 4), (2, 2), (7, 1), (-8, 5)
B. (-8, 4), (2, 3), (-4, 1), (7, 2)
C. (2, 4), (-4, 2), (2, 1), (-8, 2)
D. (7, 4), (-4, 2), (2, 1), (-8, 2)
Relations & Functions
6. Which of these mappings is a function?
W.
X.
A. W
B. X
C. Y
D. Z
Relations & Functions
7. Which of the following relations describes a function?
A. { (-3, 3), (-2, 2), (2, 2), (3, 3) }
B. { (-3, 3), (-2, -2), (-2, 2), (0, 0) }
C. { (-2, 0), (0, 2), (2, 0), (0, -2) }
D. { (0, 0), (2, -2), (2, 2), (3, 3) }
Y.
Z.
Relations & Functions
8.
Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a
function, or neither a relation nor a function.
A. function only
B. both a relation and a function
C. relation only
D. neither a relation nor a function
Domain & Range
9.
What is the domain of the function shown above?
A. -
<x<0
B. 0 < x <
C. 0 < x <
D. -
<x<
Domain & Range
10. The elements of a function of x are (2, 3), (20, 12), and
(200, 102). What is the domain of the function?
A. {2, 3, 12, 20, 102, 200}
B. {2, 20, 200}
C. {2, 3, 20}
D. {198}
Domain & Range
11. Find the domain of the function below.
A. {all real numbers less than or equal to four}
B. {all real numbers between negative two and two}
C. {all real numbers}
D. {all real numbers less than four}
Domain & Range
12.
What is the range of the function shown above?
A. {all real numbers between and including 0 and 3}
B. {all real numbers greater than or equal to 0}
C. {all real numbers}
D. {all real numbers greater than or equal to -3}
Linear Functions
13. A rancher noticed that, typically, the first day he has a new horse the horse eats 16 pounds of hay. The
second day on, the horse typically eats 24 pounds of hay per day.
Which equation could be used to determine the number of pounds, y, the horse will eat over x days?
A. y = 24(x + 16)
B. y = 16x + 24
C. y = 24x + 16
D. y = 24x - 16
Linear Functions
14. The population of a small town, P, as a function of time, t, in years past 1940 is given below.
P = 2,008 + 125·t
For which of the following years was the population of the town 6,883 .
A. 1939
B. 1979
C. 1989
D. 1949
Linear Functions
15. The monthly cost of operation at a company, C, given in dollars as a function of the number of units
produced per month, u, is given below.
C = 2,500 + 45u
Units Produced (u)
100
200
300
400
500
600
Use the given equation to complete the table above.
A. 7,000; 7,045; 7,090; 7,135; 7,180; 7,225
B. 2,500; 7,000; 11,500; 16,000; 20,500; 25,000
C. 7,000; 11,500; 16,000; 20,500; 25,000; 29,500
D. 2,545; 2,590; 2,635; 2,680; 2,725; 2,770
Monthly Cost (C)
?
?
?
?
?
?
1. C
2. B
3. C
4. B
5. C
6. D
7. A
8. C
9. C
10. B
11. C
12. B
13. C
14. B
15. C /
```
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