Find the domain and the range of the relation. {(2, 2), (5, 5), (7, 7)} Collect

Question

Find the domain and the range of the relation. {(2, 2), (5, 5), (7, 7)} Collect all the numbers that come first in each ordered pair of the relation. (Enter your answer in roster notation.) domain: Collect all the numbers that come second in each ordered pair of the relation. (Enter your answer in roster notation.) range: Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and a 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) use your function h from part (a) to predict the height of a man whose humerus bone is 32 cm long. cm

Explanation / Answer

1. Domain: {2,5,7}

Range: {2,5,7}

EXPLANATION: Domain is the set of all possible x values. Range is the spread of poosible y values.

2. (a) h(x) = 2.89 x + 70.64

EXPLANTION: Given: height h(x) is obtained by multiplying x by 2.89 and adding 70.64 to the result.

(b) For x = 32, substituting, we get:

h(32) = 2.89 X 32 + 70.64 = 163.12 cm

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