Find the range of function FX = - x2 + 2x + 3 (- 2 ≤ x ≤ 3)

Find the range of function FX = - x2 + 2x + 3 (- 2 ≤ x ≤ 3)

fx=-x2+2x+3
=-(x-1)²+4
-2≤x≤3
-9≤-(x-1)²≤0
-5≤-(x-1)²+4≤4
The range of function FX = - x2 + 2x + 3 (- 2 ≤ x ≤ 3) is [- 5,4]