They represent local maxima: points where small changes in the x-variable, in either direction, result in reductions in the y-variable.
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The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
The peaks are called the activation energy. It is the energy used to get the reaction going.
velocity.
The rate of Change in acceleration.
If it is a differentiable function, you find the value at which its derivative is 0. But in general, you can plot it as a line graph and see where it peaks.