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Inequalities: Focusing on change

A slider which changed the values of a between -2 and 2, and in turn varies the other terms. This can be used from GCSE - Alevel. Can serve either as an introduction to inequalities OR to rate of change Questions that can be asked: - What do we expect to happen when the slider is changed? - What do we expect to happen when the slider is moved to the right? - Is it possible to have more than one of a, a^2, a^3, ... etc, line up all at once? - Which of these is changing the quickest, and when? Why?