tion F. Label all in- 33. F(x) %3D EXERCISE SET 3.5 x² + 11 16. F(x) = 3x- 5 %3D Concept Check 15. F(x) = 6x - 5x - 4 X-8 35. F(x) = %3D In Exercises 1 and 2, determine which of the given func- tions are rational functions. 5x - 3 5x 18. F(x) = %3D 17. F(x) = 4x3 25x2 + 6x * - 81 37. F(x) 1 3x - 5 Vx H(x) = %3D 1. F(x) G(x) = 2х - 3 4x+1 2x- 3x-2 x² + 3 x - 2 Зх - 5 20. F(x) = 39. F(x) = 19. F(x) = x² - 2 2x 4 K(x) : x| +0.5 2. J(x) = L(x) 3x3 - x² – 1 4x +1 x2 - 3 2x 22. F(x) = 41. F(x) = 2. 21. F(x) = 3x + 5 5x In Exercises 3 to 12, determine the domain of the rational function. 43. F(x) = In Exercises 23 to 32, find the horizontal asymptote of 3. F(x) 4. F(x) %3D each rational function. 45. F(x) = %3D 4x + 1 3 x' + 4 23. F(x) = %3D 5. F(x) = 6. F(x) x + x + 1 x² + 1 x2 - 25 47. F(x) = 3x - 27x + 5x - 11 2x - 1 3x - 2 7. F(x) = 8. F(x) 24. F(x) = x* - 2x + 7 2x2 – 15x + 18 4x - 27x + 18 49. F(x) = 15,000x + 500x 2000 Зx2 10. F(x) = 2x2 9. F(x) = 25. F(x) = x3 - 4x2 - 12x x² - 5 700 + 500x 51. F(x) 25 x² + 1 x' + x + 5 26. F(x) = 6000 1 11. F(x) x3 - 8 12. F(x) x* - 8x – 9 (x +5)- 53. F(x 4x - 11x + 6 27. F(x) In Exercises 13 to 22, find all vertical asymptotes of each In Exerc 4 - x + 3 rational function. rational 13. F(x) 2x - 1 14. F(x) 3x + 5 x + 3x 28. F(x) (2x-3)(3x + 4) 55. FO x - 4 (1 2r)(3 - 5x) Indicates Try It Exercises Unless otherwise noted, all content on this page is O Cengage Learning

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.