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7. y = 2*32x5x V36x y = 8. 6x5 V144x3 9. у — 10. у %3 (2x3)? 2x2 1. If y x x² and y increases from 10° to 105, what hap- pens to x? 2. If y x 6x and x x t, how does t change when y increases from 2 × 10² to 6 × 10ª? 3. If y x 10x how is y proportionally related to x? 4. If x x 100y and y x 45z, then how does z change as x decreases from 95 to 12? 5. If x x y? and y x z, then how is x proportionally related to z? 6. If x x Jỹand y x z², then how is x proportionally related to z? Graph the functions in Problems 17 to 22. By inspection, tate the intervals where the function is increasing and the

7. y = 2*32x5x V36x y = 8. 6x5 V144x3 9. у — 10. у %3 (2x3)? 2x2 1. If y x x² and y increases from 10° to 105, what hap- pens to x? 2. If y x 6x and x x t, how does t change when y increases from 2 × 10² to 6 × 10ª? 3. If y x 10x how is y proportionally related to x? 4. If x x 100y and y x 45z, then how does z change as x decreases from 95 to 12? 5. If x x y? and y x z, then how is x proportionally related to z? 6. If x x Jỹand y x z², then how is x proportionally related to z? Graph the functions in Problems 17 to 22. By inspection, tate the intervals where the function is increasing and the

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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PROBLEM SET 1.3 Level 1 DRILL PROBLEMS Simplify the functions in Problems 1 to 9, and determine whether the functions are power functions. If a function is a power function, write it in the form y = ax'. 1. a. y 3 1 b. у 3 c. y = 3* 3x 2. а. у — 10 b. y = x10 с. у3 10* 1 3. у — 3 1 2х + 15 4. У 5x 1 5. у 3 6. у %3 V16x3 7x2 V36x 7. y = 2*32x5* 8. y 6x5 V144x3 9. у %3 10. у %3D (2х3)? 2x2 11. If y a x? and y increases from 10 to 1015, what hap- pens to x? 12. If y x 6x and x x t, how does t change when y increases from 2 × 10² to 6 × 104? 13. If y x 10x³ how is y proportionally related to x? 14. If x x 100y and y x 45z, then how does z change as x decreases from 95 to 12? 15. If x x y? and y o z', then how is x proportionally related to z? 16. If x x Jy and y ox z?, then how is x proportionally related to z? Graph the functions in Problems 17 to 22. By inspection, state the intervals where the function is increasing and the +
Transcribed Image Text:PROBLEM SET 1.3 Level 1 DRILL PROBLEMS Simplify the functions in Problems 1 to 9, and determine whether the functions are power functions. If a function is a power function, write it in the form y = ax'. 1. a. y 3 1 b. у 3 c. y = 3* 3x 2. а. у — 10 b. y = x10 с. у3 10* 1 3. у — 3 1 2х + 15 4. У 5x 1 5. у 3 6. у %3 V16x3 7x2 V36x 7. y = 2*32x5* 8. y 6x5 V144x3 9. у %3 10. у %3D (2х3)? 2x2 11. If y a x? and y increases from 10 to 1015, what hap- pens to x? 12. If y x 6x and x x t, how does t change when y increases from 2 × 10² to 6 × 104? 13. If y x 10x³ how is y proportionally related to x? 14. If x x 100y and y x 45z, then how does z change as x decreases from 95 to 12? 15. If x x y? and y o z', then how is x proportionally related to z? 16. If x x Jy and y ox z?, then how is x proportionally related to z? Graph the functions in Problems 17 to 22. By inspection, state the intervals where the function is increasing and the +
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