In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 5)3 + 9. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

The turning point is at x = 5, and this means that the substance changes from liquid to gas when x = 5.How to find the turning point?Here we have the temperature function:T(x) = (x - 5)^3 + 9The turning point is the point where the curvature of the function changes,  by differentiating the function two times and finding the zero, we can get the turning points.T'(x) = 3*(x - 5)^2T''(x) = 3*2*(x - 5) = 6*(x - 5)This is zero when x = 5, then:T''(5) = 6*(5 - 5) = 0So the turning point is there.Learn more about temperature:https://brainly.com/question/25677592#SPJ1