Question

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.
the domain is 25,75 (type your answer in interval notation.)
the range is 30,40 (type your answer in interval notation.)

Explanation:

Step1: Determine the domain

The domain of a function is the set of all possible input values (x - values). In this case, age (x - axis) ranges from 25 to 75 years. So, using interval notation, the domain is \([25,75]\) since both 25 and 75 are included (as the graph starts at \(x = 25\) and ends at \(x=75\)).

Step2: Determine the range

The range of a function is the set of all possible output values (y - values). Looking at the y - axis (percent body fat) for women, the lowest value of the function (the minimum y - value) is 30 and the highest value (the maximum y - value) is 40. Using interval notation, the range is \([30,40]\) since both 30 and 40 are included (the graph reaches these values).

Answer:

Domain: \([25,75]\)
Range: \([30,40]\)