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Unit 2 practice

Total questions: 25

Worksheet time: 2hrs 46mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.
a)

A

b)

B

c)

C

d)

D

3.
a)

A

b)

B

c)

C

d)

D

4.
a)

A

b)

B

c)

C

d)

D

5.

What is the domain of the quadratic function?

a)

y4y\ge-4

b)

x4x\le4

c)

All Real Numbers

6.

What is the range of the quadratic function?

a)

y4y\ge-4

b)

x4x\le4

c)

All Real Numbers

7.

Is the following graph continuous or discrete? What is the domain and range?

a)

Discrete
D: {-4, -3, -2, -1,...4}
R: {-3, -2, -2,...3}

b)

Continuous
D: 4<x<5D:\ -4<x<5

R: 3<y3R:\ -3<y\le3

c)

Discrete
D: {-3, -2, -2,...3}
R: {-4, -3, -2, -1,...4}

d)

Continuous
D: 3<x<3D:\ -3<x<3
R: 4<y5R:\ -4<y\le5

8.

Is the following graph continuous or discrete? What is the domain and range?

a)

Discrete

D: {1, 2, 3, 4, 5, 6}

R: {-1, 0, 1, 2, 3, 6}

b)

Discrete

D: {-1, 0, 1, 2, 3, 6}

R: {1, 2, 3, 4, 5, 6}

c)

Continuous
D: 1x6D:\ 1\le x\le6

R: 1y6R:\ -1\le y\le6

d)

Continuous
D: 1x6D:\ -1\le x\le6
R: 1y6R:\ 1\le y\le6

9.

The height in inches of water being poured into a pool can be found by using the function y=5+8xy=5+8x , where x is the number of minutes. If the water is poured between 1560 and 1920 minutes, find the domain and range of this situation and determine whether it is continuous or discrete. 

a)

Discrete
D: {1560, 1565, 1570,...1920}
R: {12485, 12486, 12487,...15365}

b)

Continuous
D: 1560x1920D:\ 1560\le x\le1920  
R: 12485y15365R:\ 12485\le y\le15365  

c)

Discrete
D: {12485, 12486, 12487,...15365}
R: {1560, 1565, 1570,...1920}

d)

Continuous
D: 12485x15365D:\ 12485\le x\le15365  
R: 1560y1920R:\ 1560\le y\le1920  

10.

Juan customizes air force one’s and uses the function y=160xy=160x to determine the amount earned, y, for each pair he customizes. He has to customize between 6 and 12 pairs each month in order to meet his sales goal. Find the domain and range of this situation and determine whether it is continuous or discrete.

a)

Continuous
D: 6x12D:\ 6\le x\le12  
R: 960y1920R:\ 960\le y\le1920  

b)

Discrete
D: {960, 1120, 1280, 1440, 1600, 1760, 1920}
R: {6,7, 8, 9, 10, 11, 12}

c)

Continuous
D: 960x1920D:\ 960\le x\le1920  
R: 6y12R:\ 6\le y\le12  

d)

Discrete
D: {6,7, 8, 9, 10, 11, 12}
R: {960, 1120, 1280, 1440, 1600, 1760, 1920}

11.

a)

Discrete

D: {1, 2, 3, 5}

R: {1, 2, 4}

b)

Continuous
D: 1x4D:\ 1\le x\le4

R: 1y5R:\ 1\le y\le5

c)

Discrete

D: {1, 2, 4}

R: {1, 2, 3, 5}

d)

Continuous
D: 1x5D:\ 1\le x\le5
R: 1y4R:\ 1\le y\le4

12.
a)

A

b)

B

c)

C

d)

D

13.
a)

A

b)

B

c)

C

d)

D

14.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
15.

g(x) = 5 - 6x

Find g(-5)

a)

g(35) = -5

b)

g(-5) = 6

c)

g(-5) = 4

d)

g(-5) = 35

16.

Evaluate h(x)=x2+2h\left(x\right)=x^2+2  for  x=2x=-2  

a)

h(2)=2h\left(-2\right)=-2  

b)

h(6)=2h\left(6\right)=-2  

c)

h(2)=6h\left(-2\right)=6  

d)

h(2)=6h\left(-2\right)=-6  

17.

Evaluate h(x)=2(5)xh\left(x\right)=2\left(5\right)^x  for  x=3x=3  



(a)  

18.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
19.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
20.
2x + 3 = 2x + 7
a)
0
b)
4
c)
no Solution
d)
All real numbers
21.

Given the graph, which statements best represents the domain and range? Select TWO correct answers.

a)

The domain is all real numbers

b)

The domain is all real numbers greater than or equal to two

c)

The domain is all real numbers greater than or equal to 4

d)

The range is all real numbers

e)

The range is all real numbers grater than or equal to 2

22.

Solve. 9(x - 5) = 2(x - 5) + 6x

x = __

4 lines
23.

Which of the following describes the domain and range of the function in the table?

a)

Domain: { -9, 11, 19, 23}

Range: {-2, 3, 5, 6}

b)

Domain: -2 ≤ x ≤ 6

Range: -9 ≤ y ≤ 23

c)

Domain: { -2, 3, 5, 6}

Range: {-9, 11, 19, 23}

d)

Domain: -9 ≤ x ≤ 23

Range: -2 ≤ y ≤ 6

24.
a)
15
b)
3
c)
-15
d)
-3
25.

k/4 + 3 = 14

a)

21

b)

44

c)

12

d)

32