Homework #2 Name_______________________________________________________________________________§3.1 # 9, #12 and # XXXXXXXXXXpoints) Determine whether the following relation represents y as a...

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Homework #2 Name_______________________________________________________________________________ §3.1 # 9, #12 and #19 (2.5 points) Determine whether the following relation represents y as a function of x. ? = ?2 2? + ?2 = 6 2?? = 1 §3.1 #32 Given the function ?(?) = 5 − ?2, evaluate ?(?+ℎ)−?(?) ℎ , ℎ ≠ 0. §3.1 # 37 (2.5 points) Given the function ?(?) = ?2 − 3?, evaluate f(5) and f(x)=4. §3.1 #88 (2.5 points) The amount of garbage, G, produced by a city with population, p, is given by the function ? = ?(?). G is measured in tons per week, and p is measured in thousands of people. a.) The town of Tola has a population of 40,000 people and produces 13 tons of garbage each week. Express this information in terms of the function f. b.) Explain the meaning of the statement f(5)=2. §3.2 #10 and #16 (2.5 points) Find the domain of the function ?(?) = √4 − 3? ?(?) = √?+4 ?−4 §3.2 #42 (2.5 points) Sketch a graph of the piecewise function. Write the domain in interval notation. ?(?) = { ?2 ?? ? < 0="" 1="" −=""> 0 §3.2 #58 and #59 (2.5 points) Create a function in which the range is all nonnegative real numbers. Create a separate function in which the domain is x>2. §3.3 #3 (2.5 points) If a function, f, is increasing on (a, b) and decreasing on (b, c), then what can be said about the local extremum of f on (a, c)? §3.3 #7 (2.5 points) Find the average rate of change of the function, ?(?) = 3? + 4 on the interval [2, 2+h] for real numbers h in simplest form. §3.3 # 10 (2.5 points) Find the average rate of change of the function, ?(?) = 3?2 − 2 on the interval [x, x+h] for real numbers h in simplest form. §3.3 #44 (2.5 points) At the start of a trip, the odometer on a car read 21,395 miles. At the end of the trip, 13.5 hours later the odometer read 22,125 miles. What is the average speed the car traveled during this trip?
Jan 14, 2023
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