The application of quadratic function in interval problem It is known that f (x) = - 3x & # 178; + 6x + 1 1. When x belongs to R, find the range of F (x) 2. When x belongs to [- 2.0], find the range of F (x) 3. If x belongs to [0.3], find the range of F (x)

The application of quadratic function in interval problem It is known that f (x) = - 3x & # 178; + 6x + 1 1. When x belongs to R, find the range of F (x) 2. When x belongs to [- 2.0], find the range of F (x) 3. If x belongs to [0.3], find the range of F (x)

f(x)=-3x²+6x+1=-3(x-1)²+4
1. The range of F (x) is [- ∞, 4]
2. When x ∈ [- 2.0], the range of F (x) is [- 23,1], the minimum and maximum are - 2 and 0
3. X ∈ [0.3], the range of F (x) is [- 8,4], the minimum and maximum are 3 and 1