Math I
EOC Function Review
Name: _______________________
1. Which function represents an exponential
decay function with a y-intercept of –3?
A. f(x) = (0.5)x – 4
5. The function f(x) = 1(3)x models the number
of virus cells present in a sample after x
minutes. About how many cells will be
present after
minutes?
B. f(x) = (0.5)x – 3
A. 3 cells
C. f(x) = 2x – 4
B. 4 cells
D. f(x) = 2 – 3
C. 5 cells
x
2. The first four terms of a sequence are shown
below.
2, 9, 40.5, 182.25, . . .
What is the next number in the sequence?
A. 323.000
B. 637.875
D. 7 cells
6. What is the explicit formula for the sequence
modeled by the recursive formula
NEXT = NOW + 5 starting at 150?
A.
C. 730.000
B.
D. 820.125
3. The formula NEXT = 2 • NOW models the
number of bacteria in a test tube. There were
10 bacteria in the test tube after the first hour.
How many bacteria will be present in the test
tube after the fifth hour?
C.
D.
7. Which function has a minimum at the point
(–2, –3)?
A. 20
A. y = (x – 2)2 – 3
B. 100
B. y = (x – 2)2 + 3
C. 160
C. y = (x + 2)2 + 3
D. 320
D. y = (x + 2)2 – 3
4. The table below shows the
number of visitors at a
carnival on several days.
What is the average rate of
change in the number of
visitors per day between
day 1 and day 5?
A. 82 visitors per day
B. 103 visitors per day
Day Visitors
1
424
2
836
3
952
4
693
5
752
8. The number of female nurses in a country
can be predicted using the function
f(t)=7,300 + 25t, where t is the number of
years since 2000. The number of male nurses
can be predicted using the function m(t) =
2,500(1.02)t, where t is the number of years
since 2000. About how many years will it
take before the number of male nurses is
expected to exceed the number of female
nurses?
C. 328 visitors per day
A. 60
D. 412 visitors per day
B. 65
C. 70
D. 75
9. Anna kept track of her running times. After 1
week of training, she ran 3 miles in 48
minutes. After 8 weeks of training, she ran 3
miles in 43 minutes. She recognized that her
times improved exponentially for the first 15
weeks before beginning to level off. Which
function best models the number of miles
Anna ran after x weeks of training?
12. An Internet company uses the function
f(x) = 6.052(1.378)x to predict the number
of subscribers (in millions) x years after
2000. Approximately what is the predicted
number of Internet subscribers the company
will have in 2019?
A. 442 million
A. f(x) = 48.00(0.98)x
B. 1 billion 943 million
B. f(x) = 48.76(0.98)x
C. 2 billion 677 million
C. f(x) = 53.25(0.90)x
D. 3 billion 689 million
D. f(x) = 54.37(0.96)x
10. Ms. Whitman gave a 50 question, multiplechoice exam. She uses the
function
to
determine the grade for a student who
missed x questions on the exam. What is the
most appropriate domain of the function?
13. Jill launched a rocket into the air off the
ground. The function h(t) = –16t2 + 128t
models the height of the rocket t seconds
after it was launched. How long does it take
the rocket to reach its maximum height?
A. 4 seconds
B. 8 seconds
C. 12 seconds
A. all integers
D. 16 seconds
B. all integers between 0 and 50
C. all integers between 0 and 100
D. all integers less than or equal to 50
14. What is the approximate value of f(5) for
the function f(x)=6.87(2.5)(x – 1)?
A. 268.36
11. The function f(t) = –16t2 + 84t models the
height of a ball t seconds after it was kicked
straight up into the air. How many seconds
does it take the ball to hit the ground?
B. 294.98
C. 670.89
D. 866.29
A.
seconds
B.
seconds
C.
seconds
15. The function h(x) = –16x2 + 72x models the
height of a football x seconds after it was
kicked off the ground. How long does it
take for the ball to hit the ground?
A. 0 seconds
B. 2.25 seconds
D.
seconds
C. 4.5 seconds
D. 9 seconds
16. Which is an equation of the function
graphed below?
18. The entry fee to run a race is $35 per
runner. Which best describes the type of
function that would model the total cost for
x runners to run in the race?
A. A linear function, because there is a
constant increase of 5.
B. A linear function, because there is a
constant increase of 35.
C. An exponential function, because there
is a constant increase of 5.
D. An exponential function, because there
is a constant increase of 35.
19. Which context best matches the recursive
equation NEXT = NOW + 5?
A. the population of sea bass in 5 year’s
time
B. the speed of a bike traveling at 5 miles
per hour
A. y = –x2 + 8x + 15
B. y = –x2 + 8x – 15
C. y = x2 + 8x – 15
D. y = x2 + 8x + 15
17. A sequence is shown below.
–
20, –17, –14, –11, –8, . . .
Which explicit equation could be used to
determine the value of the nth term in
sequence?
C. the number of students at a basketball
game, increasing by 5 students every
minute
D. the time it takes a person to run a
marathon, decreasing by 5 minutes
each marathon
20. Rodney wants to save money for a new
bike. He has $10.00 and plans to save
$15.00 each week. Which recursive formula
models this situation?
A. an = n + 3
A. NEXT = NOW + 15, starting at 10
B. an = 3n – 23
B. NEXT = NOW + 15, starting at 25
C. an = n – 23
C. NEXT = NOW + 10, starting at 15
D. an = –3n + 23
D. NEXT = NOW + 10, starting at 25
21. The equation y = 250(1.05)x models the
value of an investment after x years. Which
statement is true about the value of the
investment?
A. The value of the investment is growing
by $250 each year.
B. The value of the investment is growing
by 5% each year.
C. The value of the investment is
decreasing by $250 each year.
D. The value of the investment is
decreasing by 5% each year.
22. In which choice is y not a function of x?
A.
B.
C.
D.
x
1
2
3
1
y
2
4
5
4
x
3
5
4
1
y
2
5
5
6
x
2
6
3
4
y
1
1
1
1
x
1
3
2
4
y
2
6
8
6
23. The graph of the function f(x) = 3x + 5 was
shifted down 1 unit, resulting in the graph
of the function g(x). Which function could
be g(x)?
A. g(x) = 2x + 5
B. g(x) = 3x + 4
C. g(x) = 3x + 6
D. g(x) = 4x + 5
24. Which statement is true for the graph of the
equation
A. The graph has no x-intercept or yintercept.
B. The graph intersects the x-axis at
but has no y-intercept.
C. The graph intersects the y-axis at
but has no x-intercept.
D. The graph intersects the x-axis at
and intersects the y-axis at
25. The function f(x) = 12,500(0.89)x models
the value of a car x years after its purchase.
Which statement is true about the value of
the car?
A. The value of the car is decreasing at a
rate of 11% per year.
B. The value of the car is decreasing at a
rate of 89% per year.
C. The value of the car is increasing at a
rate of 11% per year.
D. The value of the car is increasing at a
rate of 89% per year.