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ch.4 part2

Total questions: 101

Worksheet time: 4hrs 20mins

Name
Class
Date
1.

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 4 units up to create the graph of g.

d)

The graph of f is shifted 4 units to the left to create the graph of g.

2.

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

a)

The graph of f is shifted 12 units to the right to create the graph of g.

b)

The graph of f is shifted 12 units down to create the graph of g.

c)

The graph of f is shifted 12 units up to create the graph of g.

d)

The graph of f is shifted 12 units to the left to create the graph of g.

3.

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

a)

The graph of g is steeper than the graph of f.

b)

The graph of g is less steep than the graph of f.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

4.

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

5.

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

a)

The graph of f is shifted 15 units to the right to create the graph of g.

b)

The graph of f is shifted 15 units down to create the graph of g.

c)

The graph of f is shifted 15 units up to create the graph of g.

d)

The graph of f is shifted 15 units to the left to create the graph of g.

6.

A student graphed f(x) = x and g(x) = f(x) - ½. Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted ½ unit up to create the graph of g.

d)

The graph of f is shifted ½ unit down to create the graph of g.

7.

A student graphed f(x) = x and g(x) = 4f(x). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

8.

The function f(x) = x is graphed. A new line is formed by changing the slope to 3 and the y-intercept to -2. Which is true?

a)

The graph of the new line is steeper and the y-intercept has been translated down.

b)

The graph of the new line is less steep and the y-intercept has been translated down.

c)

The graph of the new line is steeper and the y-intercept has been translated up.

d)

The graph of the new line is less steep and the y-intercept has been translated up.

9.

The function f(x) = x is graphed. A new line is formed by changing the slope to ⅔ and the y-intercept to 15. Which is true?

a)

The graph of the new line is steeper and the y-intercept has been translated down.

b)

The graph of the new line is less steep and the y-intercept has been translated down.

c)

The graph of the new line is steeper and the y-intercept has been translated up.

d)

The graph of the new line is less steep and the y-intercept has been translated up.

10.

The function f(x) = x is graphed. A new line is formed by changing the slope to 4/3 and the y-intercept to 1/3. Which is true?

a)

The graph of the new line is steeper and the y-intercept has been translated down.

b)

The graph of the new line is less steep and the y-intercept has been translated down.

c)

The graph of the new line is steeper and the y-intercept has been translated up.

d)

The graph of the new line is less steep and the y-intercept has been translated up.

11.

Which of these is the domain and range for the parent linear function?

a)

Domain: all real numbers Range: all real numbers

b)

Domain:  x≤0, Range:y ≤0Domain:\ \ x\le0,\ Range:y\ \le0

c)

Domain: all real numbers Range:

Domain: x≥0, Range: y≥0Domain:\ x\ge0,\ Range:\ y\ge0

d)

Domain:  x≥0 Range:y ≤0Domain:\ \ x\ge0\ Range:y\ \le0

12.

What are the coordinates of the transformed point? (6,-3) Vertical stretch of 2

a)

(6, 6)

b)

(12, 6)

c)

(6, -6)

d)

(12, -6)

13.

In the transformation Reflection across x-axis

a)

need to change all x value to two times x

b)

need to change all y value to x

c)

need to change all x values to -x

d)

need to change all y values to -y

14.

Which transformation describes the equation from its parent equation? 10 f(x)

a)

horizontal translation left 10 units

b)

vertical translation up 10 units

c)

vertical stretch by a factor of 10

d)

vertical shift down 10 units

15.

Which transformation describes the equation from its parent equation? f(x-9)

a)

horizontal translation right 9 units

b)

vertical translation up 9 units

c)

vertical stretch by a factor of 9

d)

horizontal translation left 9 units

16.

Which of these is the parent function? 



g(x) =

4x3−34x^3-3  

a)

linear

b)

cubic

c)

constant

d)

quadratic

17.

the simplest form of a function is called (a)  

18.

What is the parent function for

f(x)=(x+7)2?f(x)=(x+7)^2?  

a)

f(x)=xf\left(x\right)=x  

b)

f(x)=x2f\left(x\right)=x^2  

c)

f(x)=x3f\left(x\right)=x^3  

d)

f(x)=xf\left(x\right)=\sqrt{x}  

19.

The graph of a function passes through the points (2, 4) and (6, -5). What are the coordinates of these points after the function has been reflected across the x-axis?

a)

(-2, -4) and (-6, 5)

b)

(-2, -4) and (-6, -5)

c)

(2, -4) and (6, 5)

d)

(4, 2) and (-5, 6)

20.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
21.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
22.
Find the first term of the given sequence:
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
23.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
24.
Identify the common difference.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
25.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
26.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
27.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
28.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
29.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
30.
Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75
a)
Yes
b)
No
31.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
32.
The next two terms of the sequence 12,17,22,27 are
a)
28 and 33
b)
29 and 34
c)
27 and 32
d)
30 and 35
33.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
34.
Identify the common difference. 
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
35.
Identify the common difference.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
36.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
37.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
38.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
39.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
40.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
41.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
42.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
43.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
44.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
45.

A functions is graphed on the set of axes below.

a)
b)
c)
d)
46.

Evaluate f(3)f\left(3\right)  

(a)  

47.

Evaluate

f(2)f\left(2\right)  

a)

1

b)

0

c)

2

d)

3

48.

Given the piecewise function, evaluate f(2)f\left(2\right)  

(a)  

49.
a)

open circles at (3,15) and (3,13)

b)

closed circles at (3,15) and (3,13)

c)

an open circle at (3,15) and a closed circle at (3,13)

d)

a closed circle at (3,15) and an open circle at (3,13)

50.

Does the following relation represent a function?

a)

yes it passes the vertical line test

b)

no it doesn't pass the vertical line test

c)

yes it passes the horizontal line test

d)

no it doesn't pass the horizontal line test

51.

Evaluate 
f(3)f\left(3\right)  


(a)  

52.

Evaluate f(0)

a)

2

b)

-1

c)

1

d)

4

53.
a)
b)
c)
d)
54.



(a)  

55.

Which of functions represents the graph?

a)
b)
c)
d)
56.

Name the type of function:

a)

piecewise function

b)

linear function

c)

quadratic function

d)

step function

57.

Name that function:

a)

square root

b)

absolute value

c)

linear

d)

quadratic

58.

What's the parent function for the following graph?

a)

y=x2y=x^2

b)

y=∣x∣y=\left|x\right|

c)

y=xy=\sqrt{x}

d)

y=xy=x

59.

Which type of function does the graph represent?

a)

Horizontal Function

b)

Linear Function

c)

Step Function

d)

Exponential Function

60.

Name that function:

a)

square root

b)

absolute value

c)

linear

d)

quadratic

61.

What's the parent function for the following graph?

a)

y=x2y=x^2

b)

y=∣x∣y=\left|x\right|

c)

y=xy=\sqrt{x}

d)

y=xy=x

62.

Name the type of function:

a)

piecewise function

b)

linear function

c)

quadratic function

d)

step function

63.

Given the piecewise function, evaluate f(2)f\left(2\right)  

(a)  

64.

Evaluate f(0)

a)

2

b)

-1

c)

1

d)

4

65.
a)

open circles at (3,15) and (3,13)

b)

closed circles at (3,15) and (3,13)

c)

an open circle at (3,15) and a closed circle at (3,13)

d)

a closed circle at (3,15) and an open circle at (3,13)

66.



(a)  

67.

Evaluate f(3)f\left(3\right)  

(a)  

68.

Evaluate

f(2)f\left(2\right)  

a)

1

b)

0

c)

2

d)

3

69.

Which piecewise function is graphed on the set of axes below?

a)
b)
c)
d)
70.

Which type of function does the graph represent?

a)

Horizontal Function

b)

Linear Function

c)

Step Function

d)

Exponential Function

71.

Does the following relation represent a function?

a)

yes it passes the vertical line test

b)

no it doesn't pass the vertical line test

c)

yes it passes the horizontal line test

d)

no it doesn't pass the horizontal line test

72.

Evaluate 
f(3)f\left(3\right)  


(a)  

73.

Which of functions represents the graph?

a)
b)
c)
d)
74.
a)
b)
c)
d)
75.
Determine the transformation 
a)
left 3, up 2
b)
right 3, up 2
c)
left 3, down 2
d)
right 3, down 2
76.
Determine the transformation
a)
Left 5, up 1
b)
Left 5, down 1
c)
Right 5, up 1
d)
Right 5, down 1
77.
Determine the transformation
a)
down 2
b)
flip, down 2
c)
flip, left 2
d)
left 2
78.
Determine the transformation
a)
Stretch by factor of 2, left 3
b)
Shrink by factor of 2, left 3
c)
Stretch by factor of 2, right 3
d)
Shrink by factor of 2, right 3
79.
Describe each transformation
a)
stretch by factor of 1/4, right 3, down 1
b)
stretch by factor of 1/4, right 3, up 1
c)
stretch by factor of 1/4, left 3, down 1
d)
stretch by factor of 1/4, left 3, up 1
80.
Determine the vertex for each absolute value function
a)
(-3, -1)
b)
(-3, 1)
c)
(3, -1)
d)
(3, 1)
81.
Determine the vertex of the function
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
82.
Determine the vertex of the function.
a)
(0, -5)
b)
(0, 5)
c)
(-2, 5)
d)
(-2, -5)
83.
Determine the Domain of the function.
a)
x > 3
b)
x < 3
c)
x > -3
d)
All Reals
84.
Determine the Domain
a)
x > 5
b)
x > -5
c)
All Reals
d)
x > 1
85.
Determine the Range of the function
a)
All Reals
b)
y > 2
c)
x > 3
d)
y < 2
86.
Determine the Range of the function
a)
y > 2
b)
y < 2
c)
y > 0
d)
y < 0
87.
Determine the Range of the function
a)
y > 1
b)
y < 1
c)
y > 2
d)
y < -2
88.
Determine the range of the function
a)
y > 5
b)
y < 5
c)
y > 2
d)
y < 2
89.
What type of shape is an absolute value function?
a)
Line
b)
V
c)
U
d)
Z
90.
The function
 f(t) = -2|t - 15| + 50
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?
a)
0 ≤ t ≤ 40
b)
0 ≤ t ≤ ∞
c)
20 ≤ t ≤ 40
d)
-∞ ≤ t ≤ 50
91.
The function
 f(t) = -2|t - 15| + 50
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?
a)
20 ≤ f(t) ≤ 50
b)
0 ≤ f(t) ≤ ∞
c)
0 ≤ f(t) ≤ 50
d)
-∞ ≤ f(t) ≤ 50
92.
Which function shows horizontal translation and a vertical stretch?
a)
f(x) = -2|-x | 
b)
f(x) = -3|x| - 7
c)
f(x) = -|-x + 1| + 4
d)
f(x) = 5|x - 4| - 1
93.
Which function shows a horizontal stretch and a vertical translation?
a)
f(x) = 9|-x|  + 2
b)
f(x) = |1/2x + 3| - 7
c)
f(x) = -|4x + 1| + 5
d)
f(x) = 1/3|2x - 4| - 1
94.
Which function shows a horizontal  and vertical reflection?
a)
f(x) = -3|-x + 1| + 4
b)
f(x) = -|x - 1| + 4
c)
f(x) = 3|-x + 1| + 4
d)
f(x) = -3|x - 4| + 1
95.
Which function is graphed?
a)
f(x) = 2|x + 2| -4
b)
f(x) = 2|x - 4| + 2
c)
f(x) = |x + 2| - 4
d)
f(x) = -2|x - 4|
96.
Which function is graphed?
a)
f(x) = -|2x - 3| + 5
b)
f(x) = -|x + 5| - 3
c)
f(x) = -|2x + 6| + 5
d)
f(x) = -2|x + 5| - 3
97.
What is the range?
a)
-7 ≤ y ≤ 5
b)
-9 ≤ y ≤ 3
c)
-5.5 ≤ y ≤ -0.5
d)
-∞ ≤ y ≤ 5
98.

The function f(t) = -2|t - 15| + 50 is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the maximum sales for one week?

a)

$40,0000

b)

$20,0000

c)

$50,000

d)

$10,0000

99.
Which function is graphed?
a)
f(x) = 2|x - 5|
b)
f(x) = |x - 5|
c)
f(x) = |x - 5| + 5
d)
f(x) = |x| + 5
100.
Which function is graphed?
a)
f(x) = -3|-x + 1| + 4
b)
f(x) = -|x - 1| + 4
c)
f(x) = -5|x + 1| + 4
d)
f(x) = -3|x - 4| + 1
101.
Which function is graphed?
a)
f(x) = 2|x + 2| - 3
b)
f(x) = |1/2x + 2| - 3
c)
f(x) = |1/2x + 3| - 2
d)
f(x) = 4|1/2x + 3| - 2

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