the equation is made and the included values are indicated.
One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3
and slope m = 

So the equation of line will be 
And the inequality should be 
Or 
And the other line passes through (-2,3) and (0,2)
So the y intercept is b=2
and the slope is 
So the equation of line will be 
Or

So answer is 
-2(-2)^4 + 5(-2)^2 - 4
-2(-2)= 4. 4^4= 16
5(-2)= -10. -10^2= 100 - 4= 96
96 + 16= 112
Answer: 112