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1. If f(x) = x + 3, what is f(4)?

1. If f(x) = x + 3, what is f(4)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 16E
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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)?
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?
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?
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