Question

Based on experimental data, the function T(x) = -3(x − 4)3 + 10 models the temperature of a special substance after being placed in a freezer for x minutes . The inflection point of the graph marks the moment when the substance changes from a liquid to a solid.

Using complete sentences in your written answer, EXPLAIN to your fellow scientists how to find the inflection point of this function.

Answer 1

Finding the slope of the graph where it is zero.

Explanation:

when a substance is changing its state, it does so without change in temperature.

The rate of change of temperature with time should be zero.

This means that to get the inflection point you you should equation the given equation to zero.

i.e. T(x) = 0

-3(x − 4)3 + 10 = 0