AnswersVA-Mathematical AnalysisPerformance Task: Production Schemes

Performance Task: Production Schemes — Unit test Answers

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Which of the following accurately lists all discontinuities of the function below?

Question illustration
A
point discontinuity at x = –2
B
point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
2
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The graphs of three functions are shown.

Question illustration
A
All of the functions have a maximum.
B
The square root and quadratic function share a minimum.
C
The absolute value and quadratic function share a y-intercept.
D
The absolute value and square root function share an x-intercept.
3

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Question illustration
A
f(–2) = –6
B
f(–2) = –4
C
f(–2) = 0
D
f(–2) = 3
4

Consider the functions.f(x) = (x + 1)2 – 4g(x) = –4 |x + 1|

A
The ranges of both f(x) and g(x) are limited to y ≥ –1.
B
The ranges of both f(x) and g(x) are limited to y ≤ –1.
C
Since the range of f(x) is limited to y ≤ 0 and the range of g(x) is limited to y ≥ –4, the ranges overlap for the values –4 ≤ y ≤ 0.
D
Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.
5

Which statements can be used to accurately compare the functions? Select two options.

A
g(x) has the lowest minimum.
B
f(x) has the greatest maximum.
C
All three functions have a y-intercept.
D
All three functions have an x-intercept.
E
The domain of all three functions is the same.
6

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5

A
$7.40
B
$7.47
C
$7.53
D
$7.66
7

What is the range of the function graphed below?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
8

Which function has the same maximum value as f(x) = – |x + 3| – 2?

A
Option
Option A
B
f(x) = (x + 3)2 – 2
C
Option
Option C
D
f(x) = –(x – 6)2 – 3
9

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4
10

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
11

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
12

Which of the following describes the graph of ?

Question illustration
A
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option A
B
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option B
C
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option C
D
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option D
13

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–3, 2).
B
The graph of f(x) is a horizontal compression of the graph of the parent function.
C
The graph of f(x) opens downward.
D
The graph of f(x) has range of f(x) –2.
Option D
14

Which statement best compares the graphs of and ?

Question illustration
A
The two graphs are exactly the same.
B
The open and closed circles are reversed.
C
The graph of is shifted up compared to the graph of , and the open and closed circles are reversed.
Option C
D
The graph of is shifted up compared to the graph of , and the open and closed circles are the same.
Option D
15

A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, the lower the cost per pound is for the entire order of almonds.Almond PricesNumber of PoundsCost (per Pound)up to 10$20 more than 10, and up to 20$15 more than 20, and up to 30$10 more than 30$5 The farmer graphs a step function to model the situation, where y represents the cost per pound for an order of x pounds of almonds. Which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

A
a horizontal segment with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B
a horizontal segment with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C
a horizontal segment with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
D
a horizontal segment with a closed circle at (21, 10) and an open circle at (30, 10); $311.25
16

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20

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5

A
$7.40
B
$7.47
C
$7.53
D
$7.66

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