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Week 7 CFA Review 25-26

Total questions: 59

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

What are the domain and range of f(x) = 19?

a)

Domain: {19} Range: All real numbers

b)

Domain: All real numbers Range: All real numbers greater than or equal to 19

c)

Domain: All real numbers Range: {19}

d)

Domain: All real numbers greater than or equal to 19 Range: All real numbers

2.

Which graph represents a range of all real numbers greater than -4?

a)

b)

c)

d)

3.

The cost of hiring a machinist, y, to work x hours to repair a machine can be modeled using a linear function. The machinist charges a fixed assessment cost of 25 plus an additional cost of 35 per hour. The machinist will take a maximum of 6 hours to repair the machine. What is the domain and range of the function for this situation?

a)

Range: 25 ≤ y ≤ 235

b)

Domain: All real numbers

c)

Domain: 0 ≤ x ≤ 6

d)

Range: 0 ≤ x ≤ 6

e)

Domain: 25 ≤ y ≤ 235

4.

The total cost, c, of renting college textbooks for a semester can be found using the function c = 22.99t + 8.50, where t is the number of textbooks rented. A student can rent no more than 10 textbooks. Karla will need at least 4 textbooks. What is the domain of the function for this situation?

a)

F {4,5,6,7,8,9,10}

b)

G 4 ≤ t ≤ 10

c)

H 100.46 ≤ t ≤ 238.40

d)

J {100.46,123.45,146.44,169.43,192.42,215.41,238.40}

5.

What are the domain and range of f(x) = -12?

a)

Domain: All real numbers Range: {-12}

b)

Domain: All real numbers Range: All real numbers less than or equal to -12

c)

Domain: {-12} Range: All real numbers

d)

Domain: All real numbers less than or equal to -12 Range: All real numbers

6.

The graph shows a train’s distance in miles from Janesville, Wisconsin after riding the train for x hours. What is the range of the function for this situation?

a)

All real numbers less than or equal to 8

b)

All real numbers greater than or equal to 0 and less than or equal to 8

c)

All real numbers greater than or equal to 0 and less than or equal to 400

d)

All real numbers less than or equal to 400

7.

The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?

a)

-3 < h(x) ≤ 3

b)

-4 ≤ x < 2

c)

-3 ≤ h(x) < 3

d)

-4 < x ≤ 2

8.

The total cost, t, of traveling by taxi can be found using the function t = 2.20m + 2.80, where m is the number of miles traveled in a single trip. The taxi will travel no more than 100 miles in a single trip. What are the domain and range for this function?

a)

Domain: All real numbers greater than 0

b)

Domain: All real numbers greater than or equal to 2.80 and less than or equal to 222.80

c)

Domain: All real numbers greater than or equal 0 and less than or equal to 100

d)

Range: All real numbers greater than or equal to 0 and less than or equal to 100

e)

Range: All real numbers greater than or equal to 2.80 and less than or equal to 222.80

9.

The total cost, y, of renting a party venue is a function of the number of people, x, attending the party. The owner of the party venue charges a fixed cost of 780 plus 9.75 per person. There is a maximum of 120 people attending the party. What is the greatest value in the range for this situation?

a)

$1,950

b)

$1,940

c)

$2,000

d)

$1,875

10.

The Paint Pals shop is available for painting parties. The graph shows the cost of booking a painting party based on the number of people attending. What is the domain of the function for this situation?

a)

0 ≤ x ≤ 5

b)

{0,1,2,3,4,5}

c)

0 ≤ y ≤ 350

d)

{25,75,125,175,225,275}

11.

Things to help me:

a)

Complete Assignments

b)

Re-do Assignments

c)

Tutoring

12.

The cost, y, of buying x movie tickets is given by y = 12x + 5, where x is the number of tickets and there is a maximum of 8 tickets per customer. What is the range of the function for this situation?

a)

All real numbers greater than or equal to 5 and less than or equal to 101

b)

All real numbers greater than or equal to 12 and less than or equal to 96

c)

All real numbers less than or equal to 101

d)

All real numbers greater than or equal to 5 and less than or equal to 101

13.
a)
-4 ≤ x < 2
b)
0 ≤ y < 3
c)
-4 < x ≤ 2
d)
0 ≤ y < 3
14.
a)
y ≥ 4
b)
y ≤ 8
c)
y > -4
d)
y < 8
15.
a)
{ -5, -1, 1, 5 }
b)
{-1, 1, 2, 4 }
c)
-1 ≤ x ≤ 4
d)
-5 ≤ y ≤ 5
16.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)
-5 ≤ x ≤ -3
c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
17.
What is the range of the function graphed?
a)
-3 < x ≤ 6
b)
-3 < y ≤ 6
c)
2 < y ≤ 6
d)
2 < x ≤ 6
18.

Determine the domain

a)

All real numbers

b)

{x: −3 ≤ x ≤ 6}\left\{x:\ -3\ \le\ x\ \le\ 6\right\}

c)

{x : −6 ≤ x ≤ 6}\left\{x\ :\ -6\ \le\ x\ \le\ 6\right\}

d)

{x : −10 ≤ x ≤ 10}\left\{x\ :\ -10\ \le\ x\ \le\ 10\right\}

19.

What is the range of the function?

a)

{y : y ≤ 3}

b)

{y : y ≥ 3}

c)

All real numbers

d)

{y : -6 ≤ y ≤ 3}

20.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
21.
What is the domain of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ -1
d)
x ≥ 0
22.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ -1
d)
x ≥ 0
23.

Determine the domain.

a)

0≤x≤60\le x\le6  

b)

0≤x≤80\le x\le8  

c)

0≤y≤60\le y\le6  

d)

0≤y≤80\le y\le8  

24.

25(16 − 4x) = 12x + 3\frac{2}{5}\left(16\ -\ 4x\right)\ =\ 12x\ +\ 3  

(a)  

25.

6.5 − 3x − 7 = 7x + 6.5 + 36.5\ -\ 3x\ -\ 7\ =\ 7x\ +\ 6.5\ +\ 3  

(a)  

26.

6x + 4 = 9x − 56x\ +\ 4\ =\ 9x\ -\ 5  

(a)  

27.

2x + 8x − 4x = −24 + 362x\ +\ 8x\ -\ 4x\ =\ -24\ +\ 36  

(a)  

28.

−15 + 4x − 2(x + 4) = 6x − 15-15\ +\ 4x\ -\ 2\left(x\ +\ 4\right)\ =\ 6x\ -\ 15  

(a)  

29.

Solve: 10x + 9 = 4x - 9

a)

3

b)

0

c)

-18

d)

-3

30.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the coefficient

b)

Find the value of the variable

c)

Find the constant

d)

Be confused

31.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

32.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
33.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
34.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
35.

Solve the inequality

a)

x ≤ -17

b)

x ≤ -11

c)

x ≤ 7

d)

x ≤ -35

36.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
37.

Would the inequality sign flip? (Type Yes or No)

−2x +3< 8-2x\ +3<\ 8  



(a)  

38.

What is the inequality sign for greater than?

a)

<<

b)

>>

c)

≤\le

d)

≥\ge

39.
a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

40.

Match the following

a)

1.

−5(1−4x)>−5-5\left(1-4x\right)>-5

b)

2.

−2(x+1)+4<10-2\left(x+1\right)+4<10

c)

3.

2x+7≥27 or 3+3x≤302x+7\ge27\ or\ 3+3x\le30

d)

4.

−1<9+x<17-1<9+x<17

41.

f(x) = x-9 find f(-1)

a)

-10

b)

8

c)

-8

d)

10

42.

f(x) = x-5 find f(0)

a)

4

b)

-5

c)

5

d)

-4

43.

f(x) = x-5 find f(8)

a)

5

b)

3

c)

9

d)

13

44.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

45.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

46.
Is this is a function or not a function?
a)
Function
b)
Not a Function
47.

Is this a function?

a)

Yes, it is a function.

b)

No, it is not a function.

48.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
49.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
50.

What variable typically represents the domain?

a)

x

b)

y

51.

What variable typically represents the range?

a)

x

b)

y

52.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

53.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

54.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

55.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
56.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
57.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
58.
Solve for y: 
4x + 3y = 9
a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
59.
Solve for y:
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x