When compared to the graph of f(x) , the graph of g(x) is
shifted 5 units to the right
shifted 3 units to the left
shifted 3 units to the right
shifted 5 units to the left
Students were asked to write
6x5 + 8x - 3x3 + 7x7
in standard form.
Shown below are four student responses.
Anne: 7x7 + 6x5 - 3x3 + 8x
Bob: -3x3 + 6x5 + 7x7 + 8x
Carrie: 8x + 7x7 + 6x5 - 3x3
Dylan: 8x - 3x3 + 6x5 + 7x7
Which student is correct?
Dylan
Bob
Carrie
Anne
The function f is shown in this table.
Which type of function best models the given data?
exponential decay function
linear function with positive rate of change
linear function with negative rate of change
exponential growth function
Which expression results in a rational number?
A polynomial function is graphed on the accompanying coordinate plane.
Which function could represent this graph?
f(x) = (x - 1)(x2 - 2)
f(x) = (x + 1)(x2 + 2)
f(x) = (x + 1)(x2 + 4)
f(x) = (x - 1)(x2 - 4)
When solving
p2 + 5 = 8p - 7 ,
Kate wrote p2 + 12 = 8p .
The property she used is
the commutative property
the associative property
the distributive property
the addition property of equality
David wanted to go on an amusement park ride. A sign posted at the entrance read "You must be greater than 42 inches tall and no more than 57 inches tall for this ride." Which inequality would model the height, x , required for this amusement park ride?
Which situation can be modeled by a linear function?
A baseball tournament eliminates half of the teams after each round.
An amusement park allows 50 people to enter every 30 minutes.
The value of a cell phone depreciates at a rate 3.5% each year.
The population of bacteria triples every day.
Jenna took a survey of her senior class to see whether they preferred pizza or burgers. The results are summarized in the table shown. Of the people who preferred burgers, approximately what percentage were female?
21.3
38.2
61.9
45.6
When 3a + 7b > 2a - 8b
is solved for a, the result is
a < -b
a > -15b
a < -15b
a > -b
Three functions are shown.
Which statement is true?
C has a maximum and A has a minimum.
B and C have the same zeros.
A and B have the same y-intercept.
B has a minimum and C has a maximum.
Nicci's sister is 7 years less than twice Nicci's age, a . The sum of Nicci's age and her sister's age is 41. Which equation represents this relationship?
a = 2a - 7
2a - 7 = 41
a + (2a - 7) = 41
a + (7 - 2a) = 41
The population of a small town over four years is recorded in this chart, where 2013 is represented by x = 0. [Population is rounded to the nearest person.]
The population, P(x) , for these years can be modeled by the function P(x) = abx , where b is rounded to the nearest thousandth. Which statements about this function are true?
I. a = 3810
II. a = 4224
III. b = 0.035
IV. b = 1.035
II and III
I and IV
I and III
II and IV
When written in factored form,
4w2 - 11w - 3 is equivalent to
(4w + 1)(w - 3)
(2w + 1)(2w - 3)
(4w - 1)(w + 3)
(2w - 1)(2w + 3)
Which ordered pair does not represent a point on the graph of
y = 3x2 - x + 7 ?
( -1.5 , 15.25 )
( 2.5 , 23.25 )
( 1.25 , 10.25 )
( 0.5 , 7.25)
Given the following three sequences:
I. 2, 4, 6, 8, 10 ...
II. 2, 4, 8, 16, 32 ...
III. a, a + 2, a + 4, a + 6, a + 8 ...
Which ones are arithmetic sequences?
II and III, only
I, II, and III
I and II, only
I and III, only
A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be
positive rational numbers
positive integers
integers
rational numbers
The roots of x2 - 5x - 4 = 0 are
The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.
The population standard deviation of these data is approximately
79.7
3.5
80
13
A population of bacteria can be modeled by the function
f(t) = 1000(0.98)t , where t represents the population of the remaining bacteria at time, t . What is the rate of decay for this population?
0.02%
0.98%
98%
2%
Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant, in inches per hour?