Concept explainers
An Epidemic Model A certain disease is contracted in a population at an average age of
a What value of
b. Explain in practical terms what happens to
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- 13. Inventory The yearly inventory expense E, in dollar, of a car dealer is the function of number Q of automobiles ordered at a time from the manufacturer. A dealer who orders a only few automobiles at a time will have the expense of placing several orders, whereas if the order sizes are large then the dealer will have large inventory of unsold automobiles. For one dealer, the formula is, E=425Q2+8000Q So E is a rational function of Q. a. Make a graph of E versus Q covering order sizes upto 10. b. Explain in practical terms the behavior of the graph near the pole at Q=0. Hint: Keep in mind that there is a fixed cost of processing each order, regardless of the size of the orderarrow_forwardDISCUSS: A Rational Function with No Asymptote Explain how you can tell without graphing it that the function r(x)=x6+10x4+8x2+15 has no x-intercept and no horizontal, vertical, or slant asymptote. What is its end behavior?arrow_forwardThe graph of a rational function f(x)=N(x)D(x)is shown below. Determine which of the statements about the function is false. Justify your answer. (a) When x=1, D(x)=0. (b) The degree of N(x)is equal to the degree of D(x). (c) The ratio of the leading coefficients of N(x)and D(x)is 1.arrow_forward
- Applications Cell phone bills A phone company charges 11 per month plus a nickel per call. a. Find a rational function that expresses the average cost fx of a call in a month when x calls were made. b. To the nearest tenth of a cent, find the average cost of a call in a month when 68 calls were made. c. Find the inverse of the function found in a part a to find a formula that gives the number of calls f-1x that can be made for an average cost x. d. How many calls need to be made for an average cost of 15c per call?arrow_forwardRational Function? Is y=x+1x2 is a rational function?arrow_forward
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