decreases for the values of given by:
Explanation for the correct option:
Option (A): Given that
Graphical representation of is as follows:
From the graph it is clear that the curve of decreases in the interval
Hence, Option (A) is correct.
Explanation for the incorrect options:
Option (B) From the graph it is clear that the curve of increases in the interval
Option (C) From the graph it is clear that the curve of increases in the interval and then decreases in the interval . and again increases in the interval Hence does not decrease for all values of in the interval .
Option (D) From the graph it is clear that the curve of increases in the interval and then decreases in the interval . Hence does not decrease for all values of in the interval .
Therefore, option (B), (C) and (D) are incorrect.
Hence the correct option is Option (A).