What is the end behavior of the given function? f(æ) = –12Va As x → 0, f(x) → -o. As x → -0, f(x) → ∞. O As x → o, f(x) → ∞. As x → -00, ƒ(x) → -∞. f(x) → -0. As x → 0, f(x) → ∞. As x → -0, f (x) → ∞. O As x → x, f(x) → –o. As x → –∞, f(x) → -0.
Q: 2 Describe the long run behavior of f(z) = As a + - 00, f(x) V ? As z + 00, f(2) + ( -00
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- A governmental agency determines that the Lorentzcurves for the distribution of income for dentists andcontractors in a certain state are given by the functionsL1 (x) = 2 + x1.35, L2 (x) = 0.12+ 0.9x, andrespectively.For which profession is the distribution of income morefairly distributed?The owner of a luxury mtor yacht that sails among the 4000 Greek islands charges $400 per person per day if exactly 20 people sign up for the cruise. However, if , more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $5 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. a) Find a function R giving the revenue per day realized from the charter. R(x) = b) What is the revenue per day if 46 people sign up for the cruise? $_________________ c) What is the revenue per day if 81 people sign up for the cruise? $_________________A researcher believes that if x thousand individuals among a susceptible population are inoculated (made no longer susceptible to a disease), then a function of form I(x)=a⋅R^x−b for constants a, b, and R would model the eventual number of infected individuals (also in thousands). Let R=0.9 (a) If the susceptible population is 5000 and no one is inoculated, how many will eventually be sick? . What point does that imply should be on the graph of the function I(x)? ( , ) (b) If the susceptible population is 5000 and everyone is inoculated, how many will eventually be sick? . What point does that imply should be on the graph of the function I(x)? ( , ) (c) Use the results of parts (a) and (b) to find approximate values for the constants a= ( ) and b= ( ) in the researcherâs model. (d) According to the model, how many susceptible individuals will be infected if half of them are inoculated?
- Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of y=−f(x−10)?This function is made up of four (4) linear functions? Is - 4 one value that is included in the function's range? Is the value x = -12 the last value of the function's domain that is included within it's interval? Is the function continuous everywhere along its domain? Is the function continuous from x = -5 to x = 0?A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x), is related to the speed at which a truck is driven, x miles per hour, by the function: F(x) = k1/x +k2x; 10≤ x≤ 80, where k1 and k2 are parameters that vary somewhat from truck to truck. Now, Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving. What speed will provide minimal fuel consumption per mile of driving for a truck having k1 = 4.9, k2 = 0.004?