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Find the open intervals where the function graphed below is a) increasing, or b) decreasing. -10-8 Ay 10- 8. 6. -6- -10- X C

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Find the open intervals where the function graphed below is a) increasing, or b) decreasing. -10-8 Ay 10- 8. 6. -6- -10- X C a) List the open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing. b) List the open interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never decreasing. For the following function, find (a) the critical numbers, (b) the open intervals where the function is increasing, and (c) the open intervals where it is decreasing. f(x) = x + 12x +28x +7 (a) Identify the critical numbers of the function. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no critical numbers. (b) Identify the open intervals where the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no intervals where the function is increasing. (c) Identify the open intervals where the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no intervals where the function is decreasing. For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x) = X+6 x +4 a) Find the critical number(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical number(s) is/are . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no critical numbers. b) Determine the interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing. c) Determine the interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never decreasing. A manufacturer sells video games with the following cost and revenue functions (in dollars), where x is the number of games sold. Determine the interval(s) on which the profit function is increasing. C(x) 0.16x2 0.00014x R(x)=0.466x-0.0002x3 Select the correct choice below and fill in any answer boxes within your choice. A. The profit function is increasing on the interval(s) . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The profit function is never increasing. The function A(x) = 0.002x - 0.03x + 0.12x + 0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard liquor. The function only applies to the interval [0,7]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing? Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is increasing on the time interval(s) . (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never increasing. Determine the interval(s), if any, on which the blood alcohol concentration is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is decreasing on the time interval(s) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never decreasing.

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