1. Use the graph to find f(5)2. What is the value of x when f(x) =100? EXAMPLE 7 Analyzing the Graph of a FunctionThe human immunodeficiency virus, or HIV, infects and kills helper T cells. BecauseT cells stimulate the immune system to produce antibodies, their destructiondisables the body's defenses against other pathogens. By counting the number ofT cells that remain active in the body, the progression of HIV can be monitored.The fewer helper T cells, the more advanced the disease. Figure 2.9 shows a graphthat is used to monitor the average progression of the disease. The average numberof T cells, f(x), is a function of time after infection, x.yT Cell Count and HIV Infection1200Asymptomatic StageFew or no symptoms present.1000800Symptomatic StageSymptoms begin or* 600get worse.AIDS ClinicalDiagnosis400200y = flx)1 23 4 5 6 7 86.10 11Time after Infection (years)FIGURE 2.9Source: B. E. Pruitt et al., Human Sexuality, Prentice Hall, 2007.a. Explain why f represents the graph of a function.b. Use the graph to find and interpret f(8).c. For what value of x is f(x) = 350?d. Describe the general trend shown by the graph.Average T Cell Count(per milliliter of blood)

From the graph shown in the figure. At x = 5 the y coordinate is 400. Hence f(5) = 400

y T Cell Count and HIV Infection 1200 Asymptomatic Stage Few or no symptoms present. 1000 800 Symptomatic Stage Symptoms begin or get worse. 600 400 AIDS Clinical Diagnosis 200 y = f(x) 1 2 3 4 6 7 8 9 10 11 Time after Infection (years) Average T Cell Count (per milliliter of blood)

y T Cell Count and HIV Infection 1200 Asymptomatic Stage Few or no symptoms present. 1000 800 Symptomatic Stage Symptoms begin or get worse. 600 400 AIDS Clinical Diagnosis 200 y = f(x) 1 2 3 4 6 7 8 9 10 11 Time after Infection (years) Average T Cell Count (per milliliter of blood)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 5DE

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