f(x) and f'(x)

1.the function is increasing from (-2,0)U(0,2) because the output is positive and is decreasing because the output is negative. i can tell because if the slope outputs a positive number, even if the slope is negative but the output is still positive, then the function is increasing, if th output is negative, then it is decreasing.\

2.The local minimum at -2 because its before the output changes from negative to positive.
The local minimum would be at 2 because that's before the output turns from positive to negative.

3. Its concave up when its at (-infinity, -1) U (0,1)
concave down (-1,0)U(1, infinity)

concave up when f''(x) > 0
concave down when f''(x)<0

4. its x^5 because slope changes 4 times, since its the derivative of f(x) which would be x^4 which is -1 less than x^5 when u take the derivative of it, then it mus be x^5.