The function f(x) from the graph f'(x)!!!!

1. The graph is increasing at (-2,0)U(0,2).

it is decreasing at (-infinity, -2)U(2, + infinity).

I know this b/c the graph shown is the slope of f(x) :. the graph between(-2,0)U(0,2) is outputting positive numbers, while the graph between (-infinity, -2)U(2, +infinity) is outputting negative numbers!



2. The extremas on the graph are when x= -1.25, 0, and 1.25.

These are the extremas because when its slope is negative and then changes to postive that point inbetween is the minimum. whn its slope is positive then changes to negative, the pint inbw=between is your maximum.



3. The function is concave up when f''(x)>0, and concave down when f''(x)<0:.>

the graph is concave down at (-1.25,0)U( 1.25, +infintiy)



4. the power function to this graph is x^5, b/c f'(x) is a function to the fourth power, you can just tell by the graph. well u just have go backwards, the derivative of the function f(x)=x^5, is x^4 it goes down a power.

Mindset

I'm pretty sure that im of the fixed mindset. I stick to what i know, and dont really take on challenges besides this class. Although i feel like just giving up and try some other time, something inside me doesnt let me give up.hmm This fixed mindset hasn't really helped me in math alot, because i just cant get anything calc related stuck in my brain. I hope my brain likes to be trained, but if not too bad cuz thats whats been happening for the past mester. I think all of this information might help me in the future because maybe ill change because of this class, or if i dont change well then im screwed XD!