Unit 3 Test Review
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![Page 1: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/1.jpg)
Unit 3 Test Review
Write the numbers 1 – 20 on a piece of paper
![Page 2: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/2.jpg)
Instructions
There are 20 multiple choice questions.
Do not copy out the questions just do them.
The questions and answers are available on classnet.
Try to do the questions before you look at the possible answers.
There will be no multiple choice questions on the real test but these questions represent many of the types of questions that could appear on the test.
![Page 3: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/3.jpg)
1) Determine the number of zeros.
a)
b)
c)
d)
e)
4)3(2)( 2 xxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 4: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/4.jpg)
2) Determine the number of zeros.
a)
b)
c)
d)
e)
2)1(2)( xxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 5: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/5.jpg)
3) Determine the number of zeros.
a)
b)
c)
d)
e)
)2)(2(2)( xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 6: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/6.jpg)
4) Determine the number of zeros.
a)
b)
c)
d)
e)
342)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 7: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/7.jpg)
5) Determine the number of zeros.
a)
b)
c)
d)
e)
22)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 8: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/8.jpg)
6) Determine the number of zeros.
a)
b)
c)
d)
e)
44)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 9: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/9.jpg)
7) Select the correct statement about the equations corresponding to the graphs below.
a)
b)
c)
d)
e)
A and B would each have 2 real roots.
A and B would each have 2 imaginary roots.
A and B would each have 1 real root.
A would have 2 real roots while B would have no roots.
A would have 2 real roots while B would have 2 imaginary roots.
GRAPH A GRAPH B
![Page 10: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/10.jpg)
8)Determine the vertex.
a)
b)
c)
d)
e)
142)( 2 xxxf
(-1, -1)
(2, 25)
(0, 1)
(-4, 17)
(1, 7)
![Page 11: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/11.jpg)
9)Determine the vertex.
a)
b)
c)
d)
e)
1)4(2)( 2 xxf
(4, -1)
(2, 4)
(-4, 1)
(4, 1)
(-4,-1)
![Page 12: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/12.jpg)
10) Determine the vertex.
a)
b)
c)
d)
e)
)14)(23()( xxxf
(2/3, -1/4)
(5/12, -2)
(5/24 , -121/48)
(-13/8, 13/6)
(2/3, 1/4)
![Page 13: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/13.jpg)
11) Determine the vertex.
a)
b)
c)
d)
e)
xxxxf 2)3)(1(2)(
(1, 1)
(1, -2)
(-1/2 ,-13/2)
(1/2,-9.5)
(-1, -6)
![Page 14: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/14.jpg)
12)One root of an equation is 2 + 3i. Determine the other root.
a)
b)
c)
d)
e)
-2 – 3i
2 – 3i
2 + 3i
5i
-2 + 3i
![Page 15: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/15.jpg)
13)Determine the roots.
a)
b)
c)
d)
e)
1/2 and -3/2
-1 and -3
6 and -2
-6 and 2
-1/2 and 3/2
0344 2 xx
![Page 16: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/16.jpg)
14)Determine the roots.
a)
b)
c)
d)
e)
2
2 and -2
+2i and -2i
no roots
-4
082 2 x
![Page 17: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/17.jpg)
15)Determine the roots.
a)
b)
c)
d)
e)
0744 2 xx
i62
1
2
1
no roots
22
1
62
1
2
1
i22
1
![Page 18: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/18.jpg)
16)Determine the roots.
a)
b)
c)
d)
e)
08)1(2 2 x
i4153 and
no roots
i2131 and
![Page 19: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/19.jpg)
17)Determine the revenue function if
and x represents number of items sold.
a)
b)
c)
d)
e)
52)( xxp
52)( xxR
xxR 7)( 23 52)( xxxR xxxR 52)( 2
3)( xR
![Page 20: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/20.jpg)
18)Determine the profit function if
a)
b)
c)
d)
e)
132)(6)( 2 xxCandxxxR
134)( 2 xxxP
)132)(6()( 2 xxxxP
134)( 2 xxxP
138)( 2 xxxP
134)( 2 xxxP
![Page 21: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/21.jpg)
19) The cost to feed a cow is $1 per day. The cow currently weighs 100kg and is gaining 0.5kg per day. The price per kg of beef is $2 and falling by 5 cents per day. The profit function is:
a)
b)
c)
d)
e)
xxxxP 1)05.02)(5.0100()(
xxxxP 1)205.0)(1005.0()(
)05.02)(5.0100()( xxxP
xxxxP 1)52)(5.0100()(
)5.02)(05.0100()( xxxP
![Page 22: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/22.jpg)
20) Determine the value of k if the function has 2 real roots.
a)
b)
c)
d)
e)
2/1k
0842 xkx
2/1k
2k
2k2/1k
![Page 23: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/23.jpg)
Unit 2 Test ReviewANSWERS
![Page 24: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/24.jpg)
1) Determine the number of zeros.
a)
b)
c)
d)
e)
4)3(2)( 2 xxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 25: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/25.jpg)
2) Determine the number of zeros.
a)
b)
c)
d)
e)
2)1(2)( xxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 26: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/26.jpg)
3) Determine the number of zeros.
a)
b)
c)
d)
e)
)2)(2(2)( xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
![Page 27: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/27.jpg)
4) Determine the number of zeros.
a)
b)
c)
d)
e)
342)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
acb 42
40
)3)(2(442
![Page 28: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/28.jpg)
5) Determine the number of zeros.
a)
b)
c)
d)
e)
22)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
acb 42
4
)2)(1(422
![Page 29: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/29.jpg)
6) Determine the number of zeros.
a)
b)
c)
d)
e)
44)( 2 xxxf
0 zeros
1 zero
2 zeros
3 zeros
Cannot be determined.
acb 42
0
)4)(1(4)4( 2
![Page 30: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/30.jpg)
7) Select the correct statement about the equations corresponding to the graphs below.
a)
b)
c)
d)
e)
A and B would each have 2 real roots.
A and B would each have 2 imaginary roots.
A and B would each have 1 real root.
A would have 2 real roots while B would have no roots.
A would have 2 real roots while B would have 2 imaginary roots.
GRAPH A GRAPH BGraph A has 2 x-intercepts therefore 2 real roots,
Graph B has no x-intercepts therefore 2 imaginary roots.
![Page 31: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/31.jpg)
8)Determine the vertex.
a)
b)
c)
d)
e)
142)( 2 xxxf
(-1, -1)
(2, 25)
(0, 1)
(-4, 17)
(1, 7)
a
b
2
14
4
)1(f 1
![Page 32: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/32.jpg)
9)Determine the vertex.
a)
b)
c)
d)
e)
1)4(2)( 2 xxf
(4, -1)
(2, 4)
(-4, 1)
(4, 1)
(-4,-1)
vertex form parabola.
![Page 33: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/33.jpg)
10) Determine the vertex.
a)
b)
c)
d)
e)
)14)(23()( xxxf
(2/3, -1/4)
(5/12, -2)
(5/24 , -121/48)
(-13/8, 13/6)
(2/3, 1/4)
x-ints: 2/3 and -1/4
axis: (2/3 + -1/4) / 2
=5/24
OV: f(5/24)
=-121/48
![Page 34: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/34.jpg)
11) Determine the vertex.
a)
b)
c)
d)
e)
xxxxf 2)3)(1(2)(
(1, 1)
(1, -2)
(-1/2 ,-13/2)
(1/2,-9.5)
(-1, -6)
xxxxf 2)32(2)( 2 622)( 2 xxxf
a
b
2
2/1
4/2
)2/1(f 2/13
![Page 35: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/35.jpg)
12)One root of an equation is 2 + 3i. Determine the other root.
a)
b)
c)
d)
e)
-2 – 3i
2 – 3i
2 + 3i
5i
-2 + 3i
The other root is known as the complex conjugate. Switch the sign of the imaginary part of the number.
![Page 36: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/36.jpg)
13)Determine the roots.
a)
b)
c)
d)
e)
1/2 and -3/2
-1 and -3
6 and -2
-6 and 2
-1/2 and 3/2
0344 2 xx
1226
426
03264 2 xxx
0)32(1)32(2 xxx
0)32)(12( xx
![Page 37: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/37.jpg)
14)Determine the roots.
a)
b)
c)
d)
e)
2
2 and -2
+2i and -2i
no roots
-4
082 2 x
82 2 x
42 x
4x
ix 2
![Page 38: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/38.jpg)
15)Determine the roots.
a)
b)
c)
d)
e)
0744 2 xx
i62
1
2
1
no roots
22
1
62
1
2
1
i22
1
)4(2
)7)(4(4)4(4 2 x
8
964 x
8
16164 x
8
64
8
4 ix
ix 62
1
2
1
![Page 39: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/39.jpg)
16)Determine the roots.
a)
b)
c)
d)
e)
08)1(2 2 x
i4153 and
no roots
i2131 and
8)1(2 2 x
4)1( 2 x
ix 21
ix 21
![Page 40: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/40.jpg)
17)Determine the revenue function if
and x represents number of items sold.
a)
b)
c)
d)
e)
52)( xxp
52)( xxR
xxR 7)( 23 52)( xxxR xxxR 52)( 2
3)( xR
p(x) is the price. Multiply the price by the number of items sold to get revenue.
![Page 41: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/41.jpg)
18)Determine the profit function if
a)
b)
c)
d)
e)
132)(6)( 2 xxCandxxxR
134)( 2 xxxP
)132)(6()( 2 xxxxP
134)( 2 xxxP
138)( 2 xxxP
134)( 2 xxxP
)()()( xCxRxP
)132(6)( 2 xxxxP
![Page 42: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/42.jpg)
19) The cost to feed a cow is $1 per day. The cow currently weighs 100kg and is gaining 0.5kg per day. The price per kg of beef is $2 and falling by 5 cents per day. The profit function is:
a)
b)
c)
d)
e)
xxxxP 1)05.02)(5.0100()(
xxxxP 1)205.0)(1005.0()(
)05.02)(5.0100()( xxxP
xxxxP 1)52)(5.0100()(
)5.02)(05.0100()( xxxP
![Page 43: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/43.jpg)
20) Determine the value of k if the function has 2 real roots.
a)
b)
c)
d)
e)
2/1k
0842 xkx
2/1k
2k
2k2/1k
042 acb
0)8)((4)4( 2 k
03216 k
1632 k
2/1k
![Page 44: Unit 3 Test Review](https://reader033.fdocuments.us/reader033/viewer/2022051416/568130b7550346895d96d5cf/html5/thumbnails/44.jpg)
Tomorrow we will review mostly problem solving questions.
Begin working on the assigned textbook review.
These questions are on CLASSNET if you want to try them again.