1. If f(x) = x + 3, what is f(4)?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
Related questions
Question
Functions and Formula
![Section 2.2 Exercises
1. If f(x) = x + 3, what is f(4)?
11. If f(x) = 3x + 2, what is f(a +1)?
2. If g(t) = 2t – 1, what is g(0)?
12. If g(x) = x² – 1, what is g(b – 2)?
3. If h(x) = x² + 2, what is h(4)?
13. If h(x) = 2x², what is h(3a)?
%3D
4. If f(s) = 2s² – 3, what is f(10)?
14. If f(t) = t² + 3t +1, what is f(w² – 1)?
5. If g(x) = x³, what is g(2)?
Answer the following questions by evalu-
ating the given function.
6. If h(x) = x+, what is h(2)?
15. The number of calories Jane burns in
one hour of exercise can be approxi-
mated by the function
7. If f(x) = 3x– 1, what is f(a+ 1)?
c (m) %3D 60т
8. If g(x) = 5x, what is g(t²)?
where m is the MET value of the
exercise (metabolic equivalent). If
playing tennis has a MET value of
m = 10, how many calories does Jane
burn in one hour of tennis?
9. If h(s) = s² – 3, what is h(2t + 1)?
10. If w(x) = 3x+1, what is w(4a – 2)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32f5a0ef-2e4f-4675-8efa-a878694a31bc%2F4fe59825-4154-4ccc-8553-27011e8f2137%2Fgnjwlq7_processed.png&w=3840&q=75)
Transcribed Image Text:Section 2.2 Exercises
1. If f(x) = x + 3, what is f(4)?
11. If f(x) = 3x + 2, what is f(a +1)?
2. If g(t) = 2t – 1, what is g(0)?
12. If g(x) = x² – 1, what is g(b – 2)?
3. If h(x) = x² + 2, what is h(4)?
13. If h(x) = 2x², what is h(3a)?
%3D
4. If f(s) = 2s² – 3, what is f(10)?
14. If f(t) = t² + 3t +1, what is f(w² – 1)?
5. If g(x) = x³, what is g(2)?
Answer the following questions by evalu-
ating the given function.
6. If h(x) = x+, what is h(2)?
15. The number of calories Jane burns in
one hour of exercise can be approxi-
mated by the function
7. If f(x) = 3x– 1, what is f(a+ 1)?
c (m) %3D 60т
8. If g(x) = 5x, what is g(t²)?
where m is the MET value of the
exercise (metabolic equivalent). If
playing tennis has a MET value of
m = 10, how many calories does Jane
burn in one hour of tennis?
9. If h(s) = s² – 3, what is h(2t + 1)?
10. If w(x) = 3x+1, what is w(4a – 2)?
![11:15 PM
2.2. FUNCTIONS AND FORMULAS
121
Find the domain of each function.
Answer the following questions by evalu-
ating the given formula.
16. f(x) =
27. The weight of an object on an-
other planet is
17. g(x) =
W = WĘM/r?
18. f(x) =
is the objects weight on
where
Earth, M is the number of times
more massive the planet is than
Earth, r is the radius of the planet
measured in Earth radii (so r = 1 for
the Earth, r = 2 for a planet whose
radius is double that of the Earth,
WE
19. f(x) =
20. h(x) = 16
etc). If Saturn is 95 times
as Earth and has 9.5 times the radius
as massive
21. g(x) = ó
of the Earth, how much would a 100
pound object weigh on Saturn?
22. h(x) = 30
23. The area of an equilateral triangle
with a side of length s is modeled by
the function
28. E Using the formula in the previous
problem, how much would a 100
pound object weigh on Jupiter? As-
sume Jupiter has 11 times the radius
of Earth and and 318 times the mass
of the Earth.
A(s) =
4
29. E Pluto has m the mass of the
Earth and 0.18 times the radius.
What is the domain of A?
How much would a 100 pound ob-
ject weigh on Pluto?
24. The target heart rate during exercise
is
H(a) = 0.7(220 - a)
30. E Vo,max is a measure of how
much oxygen a person can utilize
during exercise. It is measured in
milliliters of oxygen per minute per
kilogram of body weight. A formula
for approximating VO,max is
where a is a person's age in years.
What is the domain of H?
25. A formula for the sum of the interior
angles of an n-gon is S(n) = 180n.
What is the domain of S?
15(220 - A)
V =
R
V is the VO,max, A is the
26. A person's height can be estimated
by the length of their femur. The
function h(x) = 2.5x + 54 estimates
a person's height in centimeters if
their femur has length x. What is the
domain of h?
individuals age in years and R is
their resting heart rate in beats per
minute (bpm). If a 50-year-old man
has a resting heart rate of 60 bpm,
what is his VO2max?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32f5a0ef-2e4f-4675-8efa-a878694a31bc%2F4fe59825-4154-4ccc-8553-27011e8f2137%2Fxg07j5e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11:15 PM
2.2. FUNCTIONS AND FORMULAS
121
Find the domain of each function.
Answer the following questions by evalu-
ating the given formula.
16. f(x) =
27. The weight of an object on an-
other planet is
17. g(x) =
W = WĘM/r?
18. f(x) =
is the objects weight on
where
Earth, M is the number of times
more massive the planet is than
Earth, r is the radius of the planet
measured in Earth radii (so r = 1 for
the Earth, r = 2 for a planet whose
radius is double that of the Earth,
WE
19. f(x) =
20. h(x) = 16
etc). If Saturn is 95 times
as Earth and has 9.5 times the radius
as massive
21. g(x) = ó
of the Earth, how much would a 100
pound object weigh on Saturn?
22. h(x) = 30
23. The area of an equilateral triangle
with a side of length s is modeled by
the function
28. E Using the formula in the previous
problem, how much would a 100
pound object weigh on Jupiter? As-
sume Jupiter has 11 times the radius
of Earth and and 318 times the mass
of the Earth.
A(s) =
4
29. E Pluto has m the mass of the
Earth and 0.18 times the radius.
What is the domain of A?
How much would a 100 pound ob-
ject weigh on Pluto?
24. The target heart rate during exercise
is
H(a) = 0.7(220 - a)
30. E Vo,max is a measure of how
much oxygen a person can utilize
during exercise. It is measured in
milliliters of oxygen per minute per
kilogram of body weight. A formula
for approximating VO,max is
where a is a person's age in years.
What is the domain of H?
25. A formula for the sum of the interior
angles of an n-gon is S(n) = 180n.
What is the domain of S?
15(220 - A)
V =
R
V is the VO,max, A is the
26. A person's height can be estimated
by the length of their femur. The
function h(x) = 2.5x + 54 estimates
a person's height in centimeters if
their femur has length x. What is the
domain of h?
individuals age in years and R is
their resting heart rate in beats per
minute (bpm). If a 50-year-old man
has a resting heart rate of 60 bpm,
what is his VO2max?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL