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REVIEW for Benchmark I

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Last updated 8 months ago
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First Name

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Last Name

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School
Mohave High School
River Valley High School
CRUSHD Academy
Teacher
N. Fernandez
P. Reyes
T. Smeets
R. Hollander
D. Villanueva
Period
1
2
3
5
6
7
Which of the following equations represents a linear function?
Option 1

Option 2

Option 3

Option 4

Which graph shape best describes a quadratic function, and how can you distinguish it from a linear or exponential function by analyzing changes in y-values?
Straight line, constant rate of change in y-values
Parabola, constant second differences in y-values
Exponential curve, constant ratio in y-values
Parabola, constant first differences in y-values
Which equation below represents an exponential function?
Option 1

Option 2

Option 3

Option 4

A function is given by the table:

Linear
Quadratic
Exponential
None of the Above
The first is quadratic; the second is exponential
The first is exponential; the second is quadratic
Both are exponential
Both are quadratic
Linear
Quadratic
Exponential
None of the Above
Without graphing, determine which of the following could represent a quadratic function:
The function has a constant rate of change.
The differences of y-values are constant.
The second differences of y-values are constant.
The growth rate is constant by percentage.
Both exponential
Exponential then linear
Linear then exponential
Quadratic then exponential
f(x), because it decreases at a constant rate
g(x), because it has a peak and then decreases
h(x), because it decreases by a constant percentage over time
None, because cooling cannot be modeled by these functions.
Both increases forever
One increases forever, the other has a maximum and then decreases
Both have a maximum and then decrease
Both are exponential
What is the slope of a line passing through the points (2, 3) and (5, 9)?
2
3
4
6
The slope of the line y = -4x + 7 is:
-4
4
7
-7
What is the slope?

2
3
4
8
Which slope represents a horizontal line?
0
Undefined
1
-1
Which slope represents a vertical line?
0
1
Undefined
-1
Find the slope between points (-3, 4) and (2, -6).
2
-2
5
-5
The average rate of change of f(x) = 3x + 1 from x = 2 to x = 5 is:
1
2
3
4
Option 1

Option 2

Option 3

Option 4

First segment
Second segment
Both equal
Not enough data
Two lines have slopes of 2 and -1/2. Which statement is correct?
The lines are parallel.
The lines are perpendicular
The lines are the same
The lines never intersect
Find the average rate of change of f(x)=x^2+2x from x=1 to x=4.
7
8
9
10
A line passes through (0, 5) and has a slope of -3. Which equation represents this line?
y=−3x+5
y=−3x−5
y=3x+5
y=3x−5
If the slope of a line is negative, which statement is true about the line?
It goes up from left to right
It goes down from left to right
It is horizontal
It is vertical
The average rate of change of a company’s revenue went from $50,000 at year 2 to $80,000 at year 5. What is the rate of change?
$6,000/year
$8,000/year
$9,000/year
$10,000/year
A cyclist’s position is given by s(t)=5t2+2t meters after t seconds. Find the average rate of change from t=2 to t=6.
28 m/s
30 m/s
32 m/s
34 m/s
Which of the following is the standard form of a quadratic function?
Option 1

Option 2

Option 3

Option 4

Answer the following question.

(4, 3)
(-4, 3)
(4, -3)
(-4, -3)
Answer the following question.

-2
2
8
5
Answer the following question.

-3 and 2
3 and -2
-3 and -2
3 and 2
Answer the following question.

Upward
Downward
Sideways
None of the above
Answer the following question.

x = -3
x = 3
x = 5
x = -5
Answer the following question.

The maximum occurs when x=10, because that is the axis of symmetry of the parabola.
The maximum occurs when x=20, because the parabola opens upward and the vertex is at x=20.
The maximum occurs when x=10, because the vertex of a downward-opening parabola represents its maximum point.
The maximum occurs when x=0, because the profit is highest when no products are sold.
Answer the following question.

4 only
-4 only
±4
No solution
Answer the following question.

Option 1

Option 2

Option 3

Option 4

Answer the following question.

(2, 3)
(-2, 3)
(2, -3)
(-2, -3)
Answer the following question.

Option 1

Option 2

Option 3

Option 4

Answer the following question.

0 and -4
0 and 4
-2 and 4
-2 and 0
A sports arena wants to install a giant arch for its entrance. The arch will be modeled by a parabola whose base is 40 meters wide and whose maximum height is 15 meters. The vertex of the parabola is at the center of the base. Which equation correctly models the arch’s height h(x) in meters, where x is the horizontal distance from the center of the base in meters?
Option 1

Option 2

Option 3

Option 4

Answer the following question.

x = 3
x = -3
x = 2
x = -2
Answer the following question.

Opens upward, vertex is maximum
Opens downward, vertex is maximum
Opens upward, vertex is minimum
Opens downward, vertex is minimum
Answer the following question.

2 seconds
4 seconds
5 seconds
10 seconds
Answer the following question.

$100,000
$200,000
$300,000
$400,000
Answer the following question.

5 units
10 units
15 units
20 units
Answer the following question.

900 square meters
1200 square meters
1800 square meters
2400 square meters
A parabola passes through the points (0, 4), (1, 7), and (2, 6). What is its equation in standard form?
Option 1

Option 2

Option 3

Option 4

Answer the following question.

$50/year
$55/year
$110/year
$120/year
Answer the following question.

It is constant
It increases over time
It decreases after the peak
It is always positive
A train’s position is recorded at 2:00 PM (20 miles), 3:00 PM (50 miles), and 4:00 PM (80 miles). What can you conclude?
The train’s average rate of change is constant at 30 mph
The train accelerated
The train decelerated
The rate of change cannot be determined
Answer the following question.

The student is correct
The student is wrong; slope should be 4
The student is wrong; slope should be -8
The student is wrong; slope should be 8
You are comparing two investments: Investment A: $5,000 grows linearly by $500/year Investment B: $5,000 grows by 8% per year After 15 years, which will have the higher total, and why?
Investment A, because linear growth is steady
Investment B, because exponential growth surpasses linear growth over time
Both will be equal
Investment A, because it starts faster