Math Questions?

j(x)= (x+2)^2-3 if x is less than or equal to -2

               x       if -2<x or less than equal to 2

       -(x-1)^2+5 if x>2

(x+2)^2-3

(-4,1) solid dot (-3,-2) solid dot (-2,-3) solid dot 

x

(-2,-2) empty dot (-1,-1) solid dot (0,0) solid dot (1,1) solid dot (2,2) solid dot

-(x-1)^2+5

(2,4) empty dot (3,1) solid dot (4,-4) solid dot 

 1. Find the range of the piecewise-defined function and enter your answer in interval notation.

2. Find the x-intercept(s)

3. The function is positive when x is in the interval(s): 

4. The function is negative when x is in the interval(s): 

5. Increasing 

6. Decreasing

(Note: I need help with all those questions, but if you don't feel like doing them all could you at least do #1, #2, #3, and #5? TIA)