Graphing Piecewise Defined FunctionsSketch a graph of the
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College Algebra
- LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.arrow_forwardSketch the graph of f(x)=x24x+3. Identify the vertex and x-intercepts.arrow_forwardOTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the view of a speaker and those of an audience increase to a point but decrease when the discrepancy becomes too large particular if the communicator is viewed by the audience as having low credibility, Suppose that the degree of change can be approximated by the function D(x)=x4+8x3+80x2 Where x is the discrepancy between the view of the speaker and those of the audience as measure by score on a question-naira. Find the amount of discrepancy the speaker should aim for to maximize the attitude change in the audience. Source: Journal of Personality and Social Psychology.arrow_forward
- Show that the function f(x)=3(x5)2+7 is not one-to-one.arrow_forwardAn outpatient operating room charges each patient a fixed amount per surgery plus an amount per minute for use. One patient was charged 250 for a 30-minute surgery and another patient was charged 450 for a 90-minute surgery. Determine the linear function that would be used to compute the charges. Use the function to determine the charge when a patient has a 45-minute surgery.arrow_forwardCreate a function in which the domain is x2 .arrow_forward
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