Can someone help me understand this? I am so lost and about to get a zero.

 

 

Math | Graded Assignment | Unit Test, Part 2 | Function Name: Date: Graded Assignment
Unit Test, Part 2: Function
Answer the following questions to practice using what you've learned. Write your responses in the space
provided, and turn the assignment in to your instructor.
Total score: ____ of 100 points
(Score for Question 1: ___ of 7 points) 1. One of the tables below contains x, y values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the table.
Table #1
x
2
y
1
Table #2 5
3 8
7 11
13 14
21 17
31 20
43 x
1
y
10
Table #3 2
13 3
18 4
21 5
26 6
29 7
34 x
2
y
1
Answer: 4
6 6
11 8
16 10
21 12
26 14
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(Score for Question 2: ___ of 9 points) 2. Give an example of each of the following:
a A function whose domain is 2, (3 points) (a) An arithmetic sequence (3 points)
(b) A system of equations with no solutions (3 points)
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(Score for Question 3: ___ of 6 points) 3. For a (c) 1
f x 2
x 3 f 3 , find: (3 points) f 2 h (3 points) Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 4: ___ of 6 points) 4. For a (d) 1
f x x 5 f og x g of 6 and g x x2 2 , find: (3 points) (3 points) Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 5: ___ of 9 points) 5. For the sequence given by an 4n 5 , answer the following: a Find the first five terms. (3 points) b Find the sum of the first 25 terms. (3 points) (e) Is this an arithmetic sequence? If so, how can you tell? If not, why not? (3 points)
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(Score for Question 6: ___ of 7 points) 6. Graph the area bounded by ,
,
, and
.
x 3 y 12 x 0
x 12
1
y x6
2 Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 7: ___ of 6 points) 7. For the function defined by: x 2, x 1 f x 2 x 1, x 1
a Evaluate (f) Graph f 0 f x . (3 points) . (3 points) Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 8: ___ of 7 points) 8. Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices. 3x y 0
5 x 2y 22
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(Score for Question 9: ___ of 7 points) 9. Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices. 8 x 2y 5
12 x 3 y 7
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(Score for Question 10: ___ of 9 points) 10. Given matrices A, B, and C below, perform the indicated operations if possible. If the operation is not possible,
explain why.
,
2 1 0 5 0 2 C 1 3 5 A 0 5 0.3 B 1 3 9 1 4 10 2 0 4 a 3A + B (3 points) (g) 2B + C (3 points)
(h) CA (3 points)
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(Score for Question 11: ___ of 6 points) 11. Given the table below, evaluate the following:
x 3 2 1 0 1 2 3 4 5 f x 1
0 2
0 3
0 4
0 5
0 6
0 7
0 8
0 9
0 g x 1 2 3 4 5 6 7 8 9 a (i) 3f 2g 1 f og 1 (3 points) (3 points) Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 12: ___ of 6 points) 12. Express the following function, h x x x2
2 4 h x as a composition of two functions f and g. Answer: © 2015 K12 Inc. All rights reserved.
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(Score for Question 13: ___ of 15 points) 13. You have a coupon for your favorite clothing store for $25 off any purchase of more than $50. The store is also
running a 20%-off sale on its entire inventory. Let x be the original price, applied, and g x f x be the price with the $25 coupon be the price with the 20% discount applied. a Write an expression for b Write an expression for c What would the expression d What would the expression e If the store allows you to apply both the 20% discount and the $25-off coupon, does it matter which you apply
first? How do you know? (3 points) f x g x . (3 points) . (3 points) f og x g of x represent? (3 points) represent? (3 points) Answer: © 2015 K12 Inc. All rights reserved.
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