Questions: With 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 x-axis, and percent body fat is represented along the y-axis. Use interval notation to give the domain and range for the graph of the function for women. Percent Body Fat in Adults The domain is (Type your answer in interval notation.)

With 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 x-axis, and percent body fat is represented along the y-axis. Use interval notation to give the domain and range for the graph of the function for women. Percent Body Fat in Adults The domain is (Type your answer in interval notation.)
Transcript text: With 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 $x$-axis, and percent body fat is represented along the $y$-axis. Use interval notation to give the domain and range for the graph of the function for women. Percent Body Fat in Adults The domain is $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Understanding the Problem

The problem requires us to determine the domain and range of the function representing the percent body fat in women as they age from 25 to 75 years. The graph provided shows age on the x-axis and percent body fat on the y-axis.

Step 2: Identifying the Domain

The domain of a function is the set of all possible input values (x-values). From the graph, we can see that the age range for women is from 25 to 75 years.

Step 3: Identifying the Range

The range of a function is the set of all possible output values (y-values). From the graph, we observe that the percent body fat for women varies between approximately 20% and 45%.

Final Answer

The domain is \([25, 75]\).

The range is \([20, 45]\).

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