Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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**Match the Physical Situation with the Appropriate Quadratic Function** **Scenario:** The temperature after x hours in a house where an air conditioner is turned on and then is turned off again. **Question:** Choose the correct graph below. **Options:** - **A.** - Graph Description: This is a downward-opening parabola. It starts high, decreases to a minimum point, and then increases again but the curve shown only represents the falling section. - **B.** - Graph Description: This is an upward-opening parabola. It decreases to a minimum point and then increases again. The curve shown indicates a complete U shape. - **C.** - Graph Description: This is an upward-opening parabola. It starts low and continues to increase. Only the rising section is shown. - **D.** - Graph Description: This is a downward-opening parabola. It increases to a maximum point and then decreases again, forming an upside-down U shape. The parabola that best matches the physical scenario - where the air conditioner is turned on, cooling the house, and then turned off, allowing the temperature to rise back up again - is **D**. This graph represents the temperature decreasing when the air conditioner is on and then increasing once it is turned off.
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Transcribed Image Text:**Match the Physical Situation with the Appropriate Quadratic Function** **Scenario:** The temperature after x hours in a house where an air conditioner is turned on and then is turned off again. **Question:** Choose the correct graph below. **Options:** - **A.** - Graph Description: This is a downward-opening parabola. It starts high, decreases to a minimum point, and then increases again but the curve shown only represents the falling section. - **B.** - Graph Description: This is an upward-opening parabola. It decreases to a minimum point and then increases again. The curve shown indicates a complete U shape. - **C.** - Graph Description: This is an upward-opening parabola. It starts low and continues to increase. Only the rising section is shown. - **D.** - Graph Description: This is a downward-opening parabola. It increases to a maximum point and then decreases again, forming an upside-down U shape. The parabola that best matches the physical scenario - where the air conditioner is turned on, cooling the house, and then turned off, allowing the temperature to rise back up again - is **D**. This graph represents the temperature decreasing when the air conditioner is on and then increasing once it is turned off.
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