Question
Question: If f (x) = Max {\| 6 – x<sup>2</sup> \|, \| x \|}, the minimum value of f (x) in the interval [–3, 3...
If f (x) = Max {| 6 – x2 |, | x |}, the minimum value of f (x) in the interval [–3, 3] is –
A
2
B
6
C
0
D
None of these
Answer
2
Explanation
Solution
at x = ± 2 |6 – x2| = |x|
minima at x = ± 2 f(2) = 2