3. The weight in pounds that can be supported by a diving board is given by the function w (x) = 5000 x , where x is the distance in feet from the base of the diving board to a point along the length of the board. a. What is the domain of the function? Can the domain include zero? Explain. b. Make a table of values and generate five ordered pairs to represent the function. c. Plot the ordered pairs and draw a smooth curve connecting the points.

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State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

The test scores of 32 students are listed below. construct a boxplot for the data set and include the values of the 5-number summary. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99