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31. f(x) = Vx %3D

31. f(x) = Vx %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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please answer 31 and 81

Find the relative extrema of each function, if they exist. List each extremum along with the x-value at which it occurs. Then sketch a graph of the function. 1. f(x) = x + 4x + 5 2. f(x) = x + 6x - 3 3. f(x) = 5 - x - x 4. f(x) = 2 - 3x - 2x 5. g(x) = 1 + 6x + 3x 6. F(x) = 0.5x + 2x – 11 %3D 7. G(x) = x - x? - x + 2 8. g(x) = x' + b - 2x + 5 9. f(x) = x - 3x + 6 10. f(x) = x - 3x? 11. f(x) = 3x + 2x 12. f(x) = x + 3x %3! 13. g(x) = 2x - 16 14. F(x) = 1 - x 15. G(x) = x - 6x + 10 31. f(x) = Vx 32. f(x) = (x + 1)3 1 33. g(x) = Vx + 2x + 5 34. F(x) = %3D V +1
Transcribed Image Text:Find the relative extrema of each function, if they exist. List each extremum along with the x-value at which it occurs. Then sketch a graph of the function. 1. f(x) = x + 4x + 5 2. f(x) = x + 6x - 3 3. f(x) = 5 - x - x 4. f(x) = 2 - 3x - 2x 5. g(x) = 1 + 6x + 3x 6. F(x) = 0.5x + 2x – 11 %3D 7. G(x) = x - x? - x + 2 8. g(x) = x' + b - 2x + 5 9. f(x) = x - 3x + 6 10. f(x) = x - 3x? 11. f(x) = 3x + 2x 12. f(x) = x + 3x %3! 13. g(x) = 2x - 16 14. F(x) = 1 - x 15. G(x) = x - 6x + 10 31. f(x) = Vx 32. f(x) = (x + 1)3 1 33. g(x) = Vx + 2x + 5 34. F(x) = %3D V +1
nor G'(3) exists. 81. f(x) has a negative derivative over (-x,-2) and (1, 0) and a positive derivative over (-2, 1), and f'(-2) = 0, but f'(1) does not exist. 82. g(x) has a positive derivative over (-0,-3) and (0, 3), a negative derivative over (-3, 0) and (3, ), and a de- rivative equal to 0 at x = -3 and x = 3, but g'(0) does not exist. 83 H(x) is increasing over (- c0 co) but the derivative
Transcribed Image Text:nor G'(3) exists. 81. f(x) has a negative derivative over (-x,-2) and (1, 0) and a positive derivative over (-2, 1), and f'(-2) = 0, but f'(1) does not exist. 82. g(x) has a positive derivative over (-0,-3) and (0, 3), a negative derivative over (-3, 0) and (3, ), and a de- rivative equal to 0 at x = -3 and x = 3, but g'(0) does not exist. 83 H(x) is increasing over (- c0 co) but the derivative
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