Math  /  Data & Statistics

QuestionWith aging, body fat increases and muscle mass declines. The graph to the right shows the percent body fat in a group of adult women and men as they age from 25 to 75 years. Age is represented along the xx-axis, and percent body fat is represented along the yy-axis. Use interval notation to give the domain and range for the graph of the function for men.
Percent Body Fat in Adults
The domain is \square . (Type your answer in interval notation.)

Studdy Solution

STEP 1

1. The graph represents a continuous function for men from age 25 to 75.
2. The domain is the set of all possible input values (ages) for which the function is defined.
3. The range is the set of all possible output values (percent body fat) for the function.

STEP 2

1. Determine the domain of the function for men.
2. Determine the range of the function for men.

STEP 3

Identify the interval on the x x -axis (age) over which the function for men is defined. According to the problem, the line for men starts at age 25 and ends at age 75.

STEP 4

Express the domain in interval notation. Since the function is defined from age 25 to 75, the domain is:
[25,75] [25, 75]

STEP 5

Identify the interval on the y y -axis (percent body fat) that the function for men covers. According to the image description, the y y -axis ranges from 20 to 40 percent. Assume the line for men covers this entire range.

STEP 6

Express the range in interval notation. Assuming the line for men covers the entire range from 20 to 40 percent, the range is:
[20,40] [20, 40]
The domain is:
[25,75] \boxed{[25, 75]}
The range is:
[20,40] \boxed{[20, 40]}

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