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

precalculus homework


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?