Saturday, February 13, 2010

F(x) to F'(x)

1) It increases at (-2,0)U(0,2) because durint those intervals it only output positive numbers basically f'(x)>0. It decreases at (-00, -2)U(2, 00) because f'(x)<0

2)at (0, 0) Right? Because an extrema is when F'(x) is zero or undefined

3)Concave up:(-00,-1.5)U(1.5, 00)
Concave down: (-1.5, 1.5)
concave up wher the slope is positive and concave down wher it is negative

4)it is probably x^5 cause it changes direction a couple of times also because the f'(x) looks like x^4.