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53 questions
The table below represents the function F. The equation that represents this function is
F(x) = 3x
F(x) = 3x
F(x) = 2x + 1
F(x) = 2x + 3
The range of the function defined as y = 5x is
y < 0
y > 0
y ≤ 0
y ≥ 0
If f(x)=3x and g(x)= 2x + 5, at which value of x is f(x) < g(x) ?
-1
2
-3
4
The graph of the equation y=ax2 is shown below.
wider and opens downward
wider and opens upward
narrower and opens downward
narrower and opens upward
The table below shows the average yearly balance in a savings account where interest is compounded annually. No money is deposited or withdrawn after the initial amount is deposited.
Which type of function best models the given data?
linear function with negative rate of change
linear function with positive rate of change
exponential decay function
exponential growth function
Krystal was given $3000 when she turned 2 years old. Her parents invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expressions can be used to determine how much money Krystal had in the account when she turned 18?
3000(1 + 0.02)16
3000(1 - 0.02)16
3000(1 + 0.02)18
3000(1 - 0.02)18
Mario's $15,000 car depreciates in value at a rate of 19% per year. The value, V, after t years can be modeled by the function V = 15,000(0.81)t. Which function is equivalent to the original function?
V = 15,000(0.9)9t
V = 15,000(0.9)2t
V = 15,000(0.9)t/9
V = 15,000(0.9)t/2
The function V(t) =1350(1.017)t represents the value V(t), in dollars, of a comic book t years after its purchase. The yearly rate of appreciation of the comic book is
17%
1.7%
1.017%
0.017%
The equation A= 1300(1.02)7 is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?
0.02% decay
0.02% growth
2% decay
2% growth
Which table of values represents a linear relationship?
The value in dollars, v(x), of a certain car after x years is represented by the equation v(x) = 25,000(0.86)x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
2589
6510
15,901
18,490
Miriam and Jessica are growing bacteria in a laboratory. Miriam uses the growth function f(t) = n2t while Jessica uses the function g(t) = n4t, where n represents the initial number of bacteria and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start with to achieve the same growth over time?
32
16
8
4
The country of Benin in West Africa has a population of 9.05 million people. The population is growing at a rate of 3.15 each year. Which function can be used to find the population 7 years from now?
f(t) = (9.05 x 106)(1 - 0.31)7
f(t) = (9.05 x 106)(1 + 0.31)7
f(t) = (9.05 x 106)( 1+ 0.031)7
f(t) = (9.05 x 106)(1 - 0.031)7
For a recently released movie, the function y = 119.67(0.61)x models the revenue earned, y, in millions of dollars each week, x, for several weeks after its release.
Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?
37.27
27.16
17.06
10.11
If a population of cells triples every hour, which function represents p(t), the population after t hours?
p(t) = 3(100)t
p(t) = 100(3)t
p(t) = 3t +100
p(t) = 100t + 3
The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late.
Linear
Quadratic
Exponential Growth
Exponential Deccay
Tables below show the values of four different functions for given values of x.
Which table represents a linear function?
f(x)
g(x)
h(x)
k(x)
A student invest $500 for 3 years in a savings account that earns 4% interest per year. No further deposits or withdrawals are made during this time. Which statement does not yield the correct balance in the account at the end of 3 years?
500(1.04)3
500(1 - .04)3
500(1 + .04)(1 + .04)(1 + .04)
500 + 500(.04) + 520(.04) + 540.8(.04)
Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x) = 30,000(0.78)x, where x is the number of years since he made his investment. Which statement describes the rate of change of the value of his portfolio?
It decreases 78% per year.
It decreases 22% per year.
It increases 78% per year.
It increase 22% per year.
Which scenario represents exponential growth?
A water tank filled at a rate of 2 gallons/minute.
A vine grows 6 inch every week.
A species of fly doubles its population every month during the summer.
A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Anne invested $1000 in an account with a 1.3% annual interest rate. She made no deposits or withdrawals on the account for 2 years. If interest was compounded annually, which equation represents the balance in the account after the 2 years?
A = 1000(1 - 0.013)2
A = 1000(1 + 0.013)2
A = 1000(1 - 1.3)2
A = 1000(1 + 1.3)2
The graph below represents a jogger's speed during her 20-minute jog around her neighborhood.
Which statement best describes what the jogger was doing during the 9 - 12 minute interval of her jog?
She was standing still.
She was increasing her speed.
She was decreasing her speed.
She was jogging at a constant rate.
To keep track of his profits, the owner of a carnival booth decided to model his ticket sales on a graph. He found that his profits only declined when he sold between 10 and 40 tickets. Which graph could represent his profits?
A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. the graph below shows the height, y, of the ball from the ground after x seconds.
0 ≤ x ≤ 2.5
0 < x < 5.5
2.5 < x < 5.5
x ≥ 2
A population that initially has 20 birds approximately doubles every 10 years. Which graph represents this population growth?
The table below represents the function F.
The equation that represents this function is
F(x) = 3x
F(x) = 3x
F(x) = 2x + 1
F(x) = 2x + 3
If f(x) = 1/3 x + 9, which statement is always true?
f(x) < 0
f(x) > 0
If x < 0, then f(x) < 0
If x > 0, then f(x) > 0
The value of the x-intercept for the graph of 4x - 5y = 40 is
10
⅘
-⅘
-8
Which point is not on the graph represent by y = x2 +3x - 6?
(-6, 12)
(-4, -2)
(2, 4)
(3, -6)
The graph of y = f(x) is shown below.
Which point could be used to find f(2)?
A
B
C
D
1
-2
-1
- 4⅓
If f(x) = 3x and g(x) = 2x + 5, at which value of x is f(x) < g(x) ?
-1
2
-3
4
Which equation(s) represent the graph below?
I. y = (x + 2)(x2 - 4x - 12)
II. y = (x - 3)(x2 + x - 2)
III. y = (x - 1)(x2 - 5x - 6)
I, only
II, only
I and II
II and III
A laboratory technician studied the population growth of a colony of bacteria. He recorded the number of bacteria every other day, as shown in the partial table below.
Which function would accurately model the technician's data?
f(t) = 25 t
f(t) = 25 t-1
f(t) = 25t
f(t) = 25(t + 1)
Which function is shown in the table below?
f(x) = 3x
f(x) = x + 3
f(x) = -x3
f(x) = 3x
The graph of f(x) is shown below.
Which function could represent the graph of f(x)?
f(x) = (x + 2)(x2 + 3x - 4)
f(x) = (x - 2)(x2 + 3x - 4)`
f(x) = (x + 2)(x2 + 3x + 4)
f(x) = (x - 2)(x2 + 3x + 4)
Given the function h(x) = ½x + 3 and j(x) = |x|, which value of x makes h(x) = j(x) ?
-2
2
3
-6
What is the largest integer, x, for which the value of f(x) = 5x4 + 30x2 + 9 will be greater than the value of g(x) = 3x?
7
8
9
10
Which chart could represent the function f(x) = -2x + 6?
As x increase beyond 25, which function will have the largest value?
f(x) = 1.5x
g(x) = 1.5x + 3
h(x) = 1.5x2
k(x) = 1.5x3 + 1.5x2
Lynn, Jude, and Anne were given the function f(x) = -2x2 + 32, and they were asked to find f(3). Lynn's answer was 14, Jude's answer was 4, and Anne's answer was +/- 4. Who is correct?
Lynn, only
Jude, only
Anne, only
Both Lynn and Jude
Jenny collects population data, P(h), about a specific strain of bacteria over time in hours, h, as shown in the graph below.
Which equation represents the graph of P(h)?
P(h) = 4(2)h
P(h) = 3h2 + 0.2h + 4.2
P(h) = 9½ h + 1 ⅕
P(h) = ⅔ h3 - h2 + 3h + 4
Wenona sketched the polynomial P(x) as shown on the axes below. Which equation could represent P(x)?
P(x) = (x + 10(x - 2)2
P(x) = (x - 1)(x + 2)2
P(x) = (x + 1)(x - 2)
P(x) = (x - 1)(x + 2)
Which graph represents y = √x-2?
In a sequence, the first term is 3 and the common difference is 2. The fifth term of this sequence is
-5
-3
9
11
The third term in an arithmetic sequence is 11 and the fifth term is 27. If the first term is a1, which is an equation for the nth term of this sequence?
an = 8n + 11
an = 8n - 13
an = 16n + 11
an = 16n - 37
Which function defines the sequence -6, -10, -14, -18, ..., where f(6) = -26 ?
f(x) = - 4x - 2
f(x) = 4x - 2
f(x) = - x + 32
f(x) = x - 26
What is the domain of the relation shown below?
{(4,2), (1,1), (0,0), (1, -1), (4,-2)}
{0, 1, 4}
{-2, -1, 0, 1, 2}
{-2, -1, 0, 1, 2, 4}
{-2, -1, 0, 0, 1, 1, 1, 2, 4, 4}
Which table represents a function?
The range of the function f(x) = x2 + 2x - 8 is all real numbers
less than or equal to -9
greater than or equal to -9
less than or equal to -1
greater than or equal to -1
The graph of the function f(x) = √(x+4) is shown below. The domain of the function is
{x | x > 0}
{x | x ≥ 0}
{x | x > -4}
{x | x ≥ -4}
A mapping is shown in the diagram below. This mapping is
a function, because Feb has two outputs, 28 and 29
a function, because two inputs, Jan and Mar, result in the output 31
not a function, because Feb has two outputs, 28 and 29
not a function, because two inputs, Jan and Mar, result in the output 31
Which graph represents
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