The mass (in grams) of the human brain during the last trimester of gestation and the first two years after birth can be approximated by the function

where c is the circumference of the head in centimeters.
(a) Find the approximate mass of brains with a head circumference of 30, 40, and 50 cm.
(b) Clearly the formula is invalid for any values of c yielding negative values of w. For what values of c is this true?
(c) Use a graphing calculator to sketch this graph on the interval 20 ≤ c ≤ 50.
(d) Suppose an infant brain has mass of 700 g. Use features on a graphing calculator to find what the circumference of the head is expected to be.

Transcribed Image Text:

m(c) = C³ 100 1500 C