APPLICATIONS The height of an object that is traveling through the air can be well modeled by a quadratic function that opens downward. An object is fired upward and its height in feet above the ground is given by: 6. h(1)--16r + 64t + 80 where the input, r, is the time, in seconds, the object has been in the air (a) Using your calculator, sketch a graph of the object's height for all times where it is at or above the ground. 160 140 120 (b) What is its maximum height in feet? 100 80 60 (c) At what time does it hit the ground? 40 20 3 4 Time, t, seconds 2. 6. (d) Over what time interval is its height increasing? Height above the ground, h, in feet
APPLICATIONS The height of an object that is traveling through the air can be well modeled by a quadratic function that opens downward. An object is fired upward and its height in feet above the ground is given by: 6. h(1)--16r + 64t + 80 where the input, r, is the time, in seconds, the object has been in the air (a) Using your calculator, sketch a graph of the object's height for all times where it is at or above the ground. 160 140 120 (b) What is its maximum height in feet? 100 80 60 (c) At what time does it hit the ground? 40 20 3 4 Time, t, seconds 2. 6. (d) Over what time interval is its height increasing? Height above the ground, h, in feet
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How would you solve number 6?
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The height of an object that is traveling through the air can be well modeled by a quadratic function that
opens downward. An object is fired upward and its height in feet above the ground is given by:
6.
h(1) =-161 + 641 + 80
where the input, t, is the time, in seconds, the object has been in the air
(a) Using your calculator, sketch a graph of the object's
height for all times where it is at or above the
ground.
160
140
120
(b) What is its maximum height in feet?
100
80
60
(c) At what time does it hit the ground?
40
20
2
3
4
6.
(d) Over what time interval is its height increasing?
Time, t, seconds
7. The cost per computer produced at a factory depends on how many computers the factory produces in a day.
n²-n+200 , where n is the number of computers produced in
500
1
The cost function is modeled by C(n) =-
a day and C(n) is the unit cost, in dollars per computer.
(b) Does the cost have a minimum or maximum
value? Explain. Use your calculator to find it.
(a) Calculate C(50) and give an interpretation of
your answer in terms of the scenario described.
(c) Based on (b), can this function have any real zeroes? Explain your thought process.
COMMON CORE ALGEBRA I, UNIT #8 – QUADRATIC FUNCTIONS AND THEIR ALGEBRA -LESSON #2
luTRUCTIONy RED HOOK, NY 12571. © 2013
Height above the ground, h, in feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2563f86-d1ec-4b52-bc14-5b3c7859ebf1%2F020fb085-eacb-4ea5-bc68-559ccfd4cc05%2Fpt2jqy1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:tano.LANMABLE KELP
N AMMALE IPAY
AMI DA HIGH AT
UNARM USE
Woka D
A
FOLD
VISITO
INS
THE
TO
APPLICATIONS
CO
The height of an object that is traveling through the air can be well modeled by a quadratic function that
opens downward. An object is fired upward and its height in feet above the ground is given by:
6.
h(1) =-161 + 641 + 80
where the input, t, is the time, in seconds, the object has been in the air
(a) Using your calculator, sketch a graph of the object's
height for all times where it is at or above the
ground.
160
140
120
(b) What is its maximum height in feet?
100
80
60
(c) At what time does it hit the ground?
40
20
2
3
4
6.
(d) Over what time interval is its height increasing?
Time, t, seconds
7. The cost per computer produced at a factory depends on how many computers the factory produces in a day.
n²-n+200 , where n is the number of computers produced in
500
1
The cost function is modeled by C(n) =-
a day and C(n) is the unit cost, in dollars per computer.
(b) Does the cost have a minimum or maximum
value? Explain. Use your calculator to find it.
(a) Calculate C(50) and give an interpretation of
your answer in terms of the scenario described.
(c) Based on (b), can this function have any real zeroes? Explain your thought process.
COMMON CORE ALGEBRA I, UNIT #8 – QUADRATIC FUNCTIONS AND THEIR ALGEBRA -LESSON #2
luTRUCTIONy RED HOOK, NY 12571. © 2013
Height above the ground, h, in feet
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