1.It is increasing on the intervals [-2,0]u [2,0], and decreasing on (-∞,2]u[2,∞) you can tell because it is positive on a f'(x) graph and when it is decreasing it is negative on the f'(x) graph.
2The 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.It is concave up at (-∞,-1.25) and (0,1.25). It is concave down at (-1.25,0) and (1.25,∞). You can tell from this graph that is concave down when f'(x) is decreasing and concave up when f'(x) is increasing.
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.

mindset

1. i belive that i have a growth mind set i beleive i am capeable of doing anything that i put my mind to. a growth mindset is when people belive that you gain your intelligence from being trained. i beleive that no matter the chalenge or obsticle there is always a way. our mind is a powerfull thing and more you learn the better it gets.
2. my mind set helps me in math because there is never problem that i cant solve. i might get it wrong at first but practice and training my mind will make me better
3. knowing the my brain a muscle is pretty big because i have never though of it that way. i think all people should extersie ther mind and make it better.
4. this will help me out in the future so when there is some thing that i can not over come i will always know that my mind is capable of doing anything if i keep trying. and i would not have only grown but i have took some usefull skills out of it