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Determine maximum number of turning points for a polynomial function.
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Determine the maximum number of turning points in the graph of each of the following functions:
f(x)=−12x^6+17x^4+3x^3−9x+5
g(x)=7x(x−4)^5 (x+2)^3 (x+6)^4
f(x)=−12x^6+17x^4+3x^3−9x+5
g(x)=7x(x−4)^5 (x+2)^3 (x+6)^4