Consider the one parameter family of functions given by p x 5x3 ax 2 where a 0 Determine p x p x The function p x has exactly

Question

Consider the one parameter family of functions given by p x 5x3 ax 2 where a 0 Determine p x p x The function p x has exactly two critical points The leftmost critical point is at x and the rightmost critical point is at a Determine p x p x The function p x has exactly one inflection point at x A where A p x is Select an answer for A and Select an answer for z A If the value of a is increased what happens to the location of the critical numbers and the inflection point O Both critical points and the inflection point move left O Both critical points and the inflection point move right O One critical point and the inflection point move left The other critical point stays fixed One critical point and the inflection point move right The other critical point stays fixed O it is impossible to tell in general how the location of these points will

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