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WorksheetsGSE Unit 4 Review
Total questions: 45
Worksheet time: 3hrs 59mins
Name
Class
Date
1.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
2.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
3.
Is this table a function or not a function?
a)
Function
b)
Not a Function
4.
Is this table a function or not a function?
a)
Function
b)
Not a Function
5.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
6.
a)
Function
b)
Not a Function
7.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
8.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
9.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
10.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
11.
What is the RANGE?
a)
all real numbers
b)
[1, ∞)
c)
(-∞, 1]
d)
none of these
12.
What is the range?
a)
[-∞, +∞]
b)
[-2, 2]
c)
(-∞, ∞)
d)
[0, 2]
13.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
14.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
15.
What is the x-intercept of the exponential function?
a)
(0,1)
b)
(0,0)
c)
There is not one
16.
Given the function, f(x) = 6.5(0.85)x, identify the initial value.
a)
6.5
b)
0.85
c)
x
d)
f(x)
17.
Which dashed line is an asymptote for the graph above?
a)
Line a
b)
Line b
c)
Line c
d)
Line d
18.
Which of the following statements about the graph above is true?
a)
The domain is the set of all real numbers less than 0.
b)
The equation of the asymptote is x=0.
c)
The range is the set of all real numbers less than 0.
d)
The domain is the set of all real numbers.
19.
Which of the following is the equation of the asymptote of the graph above?
a)
y=-1
b)
x=-1
c)
y=0
d)
x=0
20.
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
a)
4 units up
b)
4 units to the left
c)
4 units to the right
d)
4 units down
21.
Given g(x)=5x
Write a function that is reflected over the line x=0 and translated 4 units to the right.
Write a function that is reflected over the line x=0 and translated 4 units to the right.
a)
f(x)= -5x-4
b)
f(x)= -5x+4
c)
f(x)= 5(x-4)
d)
f(x)= 5-(x-4)
22.
Given g(x)=(1/2)x
Write a function that is reflected over the line y=0 and translated 4 units up.
Write a function that is reflected over the line y=0 and translated 4 units up.
a)
f(x)= -(1/2)x+4
b)
f(x)= -(1/2)x+4
c)
f(x)= (1/2)x-4
d)
f(x)= -(1/2)x+4
23.
What kind of transformation is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
24.
What is the transformation?
a)
Horizontal Translation left 2
b)
Vertical Translation down 2
c)
None
d)
Reflection across the line y=0
25.
What transformations occur in the following function?
a)
right 3, up 2
b)
left 3, up 2
c)
left 3, down 2
d)
right 3, down 2
26.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
27.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
28.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
29.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
30.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
31.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
32.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
33.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
34.
Your 3 year investment of $20,000 received 5.2% interest compounded annually. What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
35.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
36.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
37.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
38.
What does a1 represent?
a)
Any term
b)
First term
c)
Last term
39.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
40.
Is the sequence -432, 72, -12, 2,...geometric?
a)
yes
b)
no
41.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
42.
What is the 14th term of the geometric sequence?
a)
14,348,907
b)
4,782,969
c)
1,594,323
d)
45
43.
Given the sequence:
125, 25, 5, ....
Write the rule an using the geometric sequence formula:
a)
an = (125)(1/5)(n-1)
b)
an = 625(1/5)(n-1)
c)
an = 625(5)(n-1)
d)
an = 125 + 5n
44.
What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
a)
384
b)
768
c)
1,536
d)
27
45.
Find a12 for the geometric sequence defined by the following formula:
an = 6(2)n-1
a)
4096
b)
24,576
c)
2048
d)
12,288
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