A. f(x) is a real function defined on an interval [a, b]. f(x) have to have a maximum value in [a, b] if there exists a point c in [a, b] such that f(x)≥ f(c) for all x∈ [a, b]
B. Let f(x) be a real function defined on an interval [a, b]. f(x) is said to have the minimum value in the interval [a. b] if there exists a point c ∈ [a, b] such that f(x) ≤ f(c) for all x ∈ [a, b]
C. f(x) = -(x - 1)2 + 2, x ∈ R, max value = 2, min value does not exist
D. f(x) = -|x + 1| +3. x ∈ R, Max. values = 3, min value = 2
Choose the correct answer from the options given below:
1
A, B, C
2
B, C, D
3
C
4
A, B, C, D