a) Since we cannot take the square root of a negative number, we need the inside of the square root to be non-negative. when . The domain of is . f(x) b) We cannot divide by zero, so we need the denominator to be non-zero. when = 2, so we must exclude 2 from the domain. x The domain of is . g(x) 1.1 Exercises The amount of garbage, produced by a city with population is given by . is measured G, p G in tons per week, and is measured in thousands of people. p The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. Explain the meaning of the statement . The number of yards of dirt, needed to cover a garden with area square feet is given D, a by . A garden with area 5000 ft2 requires 50 cubic yards of dirt. Express this information in terms of the function g. Explain the meaning of the statement . Select all of the following graphs which represent as a function of y x. a b c d e f Select all of the following graphs which represent as a function of y x. a b c d e f Select all of the following tables which represent as a function of y x. a. b. c. Select all of the following tables which represent as a function of y x. a. b. c.
a) Since we cannot take the square root of a negative number, we need the inside of the square root to be non-negative. when . The domain of f(x) is . b) We cannot divide by zero, so we need the denominator to be non-zero. when x = 2, so we must exclude 2 from the domain. The domain of g(x) is . 1.1 Exercises The amount of garbage, G, produced by a city with population p is given by . G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. Explain the meaning of the statement . The number of yards of dirt, D, needed to cover a garden with area a square feet is given by . A garden with area 5000 ft2 requires 50 cubic yards of dirt. Express this information in terms of the function g. Explain the meaning of the statement . Select all of the following graphs which represent y as a function of x. a b c d e f Select all of the following graphs which represent y as a function of x. a b c d e f Select all of the following tables which represent y as a function of x. a. b. c. Select all of the following tables which represent y as a function of x. a. b. c.
BusCalc_Chp1_wExercises.docx