In your lab, a substance\'s temperature has been observed to follow the function
ID: 3168878 • Letter: I
Question
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences. In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences.Explanation / Answer
T(x) = (x+5)^3 + 7
to find turning point of the function we take first derivative of this function
T'(x) = 3 ( x+5)^2
setting the derivative equal to 0
3 (x+5)^2 = 0
(x+5)^2 = 0
x = -5
so, turning point occurs at x = -5 because the derivative is 0 at this point