Answer
See below
Work Step by Step
Given: $f(x)=x^5-4x^3+x^2+2$
The x-intercepts: $(-2.159,0);(1,0);(1.747,0)$
The local maximums: $(-1.627,10.474);(0.169,2.009)$
The local minimums: $(0,2);(1.458,-1.683)$
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