I need to find local maxima and local minima for this


1. f(x)=X3-3X2+5 (-1,3)

I need to find local Maxima and Local Minima for this Question. Also determine where the function is increasing and where it is decreasing. round answer to two decimal places.

2. g(x)= X2+1

(a) Find the average rate of change from -1 to 2.
(b) Find an equation of the secant line containing (-1,g(-1) ) and (2,g(2) ).

3. If f(x)= -3x if x<-1
0 if x= -1
2x2+1 if x>-1

Find (a) f(-2) (b) f(-1) (c) f(0)

For above question sketch the graph of each function. Be sure to label 3 points on the graph.

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Algebra: I need to find local maxima and local minima for this
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