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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

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 Function
The human immunodeficiency virus, or HIV, infects and kills helper T cells. Because
T cells stimulate the immune system to produce antibodies, their destruction
disables the body's defenses against other pathogens. By counting the number of
T 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 graph
that is used to monitor the average progression of the disease. The average number
of T cells, f(x), is a function of time after infection, x.
y
T Cell Count and HIV Infection
1200
Asymptomatic Stage
Few or no symptoms present.
1000
800
Symptomatic Stage
Symptoms begin or
* 600
get worse.
AIDS Clinical
Diagnosis
400
200
y = flx)
1 2
3 4 5 6 7 8
6.
10 11
Time after Infection (years)
FIGURE 2.9
Source: 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)
Transcribed Image Text:EXAMPLE 7 Analyzing the Graph of a Function The human immunodeficiency virus, or HIV, infects and kills helper T cells. Because T cells stimulate the immune system to produce antibodies, their destruction disables the body's defenses against other pathogens. By counting the number of T 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 graph that is used to monitor the average progression of the disease. The average number of T cells, f(x), is a function of time after infection, x. y T Cell Count and HIV Infection 1200 Asymptomatic Stage Few or no symptoms present. 1000 800 Symptomatic Stage Symptoms begin or * 600 get worse. AIDS Clinical Diagnosis 400 200 y = flx) 1 2 3 4 5 6 7 8 6. 10 11 Time after Infection (years) FIGURE 2.9 Source: 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)
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