Well first of, if you know that the function is increasing all the way up to -2 and then decreasing, how do you conclude that -2 is a local minimum??

Well this is wrong. You can not subtract the 1 on the right side into the bracket.

Since the power is even or

Hope that helps with this part.

Now for C.What do you mean the second point? as far as I can see there is only one inflection point.(first point)

then to get the second point, i plugged in -1(first point) to the original equation

Think a bit about this one, when the function is concave up it's derivative is increasing (where it is defined).and how do i find the rest of part C, which is

"Find the interval the function is concave up.

Find the interval the function is concave down."

What does the second derivative look like when the first one is increasing ?

It is positive. Do you understand why?

So on what intervals is the second derivative positive and where is it negative?

You find out where the function is increasing or decreasing by taking the derivative,how do i solve part A without graphing it on a calculator? is there a way to find the points without graphing it?

and find out where the derivative is positive or negative.

Hope that helps.