5:17 PM Thu Apr 9 * 53% For Exercises 290-38, sketch a graph that possesses the characteristics listed. Answers тау vary. 29. fis decreasing and concave up on (– ∞, 2), fis decreasing and concave down on (2, ∞). 30. fis increasing and concave up on (- ∞, 4), fis increasing and concave down on (4, ∞). 31. fis decreasing and concave down on (– 0, 3), fis decreasing and concave up on (3, ). 32. fis increasing and concave down on (– o, 1), fis increasing and concave up on (1, o). 33. fis concave up at (1, – 3), concave down at (8, 7), and has an inflection point at (5, 4). 34. fis concave down at (1, 5), concave up at (7, – 2), and has an inflection point at (4, 1). 35. f (- 3) = 0, f" (- 3) < 0, ƒ(- 3) = 8; ƒ (9) = 0, f' (9) > 0, f(9) = – 6; f" (2) = 0, and f(2) = 1 36. f (- 1) = 0, f' (- 1) > 0, f(- 1) = – 5; f (7) = 0, ƒ° (7) < 0, ƒ(7) = 10; f (3) = 0, and f(3) = 2 37. f (0) = 0, f (0) < 0, f(0) = 5; ƒ (2) = 0, ƒ' (2) > 0, f(2) = 2; ƒ (4) = 0, ƒ' (4) < 0, and f(4) 38. f (- 1) = 0, s (- 1) > 0, f(– 1) = – 2; f (1) = 0, s' (1) > 0, f(1) = - 2; ƒ (0) = 0, f' (0) < 0, and f(0) = 0 %3D Applications Business and Economics 39. Labor force. The percentage of the U.S. civilian labor force aged 45-54 can be modeled by the function f given by fx) = - 0.0115x² + 0.125x + 81.7,

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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.

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

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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.