Here is a graph of the derivative y’ of a continuous, differentiable function. For approximately what values of x between -5 and 5 does the original function y have inflection points. Is it 4 inflection points?

paste.pics/fa14942466016d4a8e4a0678cf9d8cbb
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1 answer

y has inflection points where y" = 0
Since y" is the derivative of y', y"=0 where y' has a min or max.
So, yes, there are 4 inflection points.