1). it is increasing at [-2,0]u[0,2] because the output is positive, above the x-axis. it is decreasing at (-∞,-2]u[2,∞) because the output is negative, below the x-axis.

2). there is a local minimum at x=0, and local maximum at x=-1.25, 1.25.

3). you cant tell with this graph because it is the graph of f '(x), it doesnt show the f(x).

4). the power function of f(x) is 5. it is 5 because the graph of the derivative has 4 slopes. by that i mean it changes the sign of the slope 4 times. so to get the derivative you subtract 1 off the power function and to find the f(x) you just add 1 to the f '(x).

Mindsets

1). i think that i am more a part of the growth mindset when it comes to intelligence. i see a lot of things as challenges and that makes me want to work harder. also im persistant,and i see criticism as a way to find out what i did wrong and how i can make it right.

2). this mindset has helped me in math because i dont let setbacks get to me. also i learn from criticsim, that is what gets me to understand what we learn in class. it also makes me understand i better.

3). knowing that my brain is a muscle and that i can train it makes me feel in control. it makes me feel like i control what goes in to my brain. also puts me at ease to know that i can train my brain.

4). i see it as a way to make learning a bit easier. i feel like i can train my brain just as if i were to train a dog but in sort of a good way. this info just puts me at ease.