Math  /  Trigonometry

QuestionFor the given function, use your intuition or additional research, if necessary, to complete parts (a) through (c) below. (angle of football, horizontal distance traveled by football) a. Describe an appropriate domain and range for the function. b. Make a rough sketch of a graph of the function. c. Briefly discuss the validity of the graph as a model of the true function. a. Choose the appropriate domain for the function below. A. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 mi . B. The domain is all angles a football could be thrown at or 00^{\circ} to 360360^{\circ}. C. The domain is all angles a football could be thrown at or 00^{\circ} to 9090^{\circ}. D. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 ft .

Studdy Solution
Discuss the validity of the graph as a model.
The graph is a simplified model of the true function. It assumes no air resistance and a constant initial speed. In reality, factors like air resistance, wind, and varying initial speeds can affect the actual trajectory and distance.
The model is valid for basic predictions and understanding the relationship between angle and distance but may not be accurate for precise calculations.

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