SOLUTION: In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liqu
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-> SOLUTION: In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liqu
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Question 978022: In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. 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. Answer by solver91311(24713) (Show Source):
An inflection point is the boundary between two regions of the function one of which is concave up and one of which is concave down. If the second derivative of the function is greater than or equal to zero on an interval, then the function is concave up on that interval. If the second derivative is less than or equal to zero on an interval, then the function is concave down on that interval. If a point of inflection exists at c, then it is necessary (but not sufficient) for f"(c) = 0 or f"(c) to not exist.
John
My calculator said it, I believe it, that settles it
