Answer:
Option C is correct .i.e., ( 0 , 2 )
Step-by-step explanation:
We are given with a graph.
To find: Interval of local maximum
We can clearly see from graph that there is only one point of maximum.
Point of maximum is ( 1.55 , 10.8 )
Option A:
Interval is ( -3 , -2 ) means x > -3 & x < -2
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Option B:
Interval is ( -2 , 0 ) means x > -2 & x < 0
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Option C:
Interval is ( 0 , 2 ) means x > 0 & x < 2
Here, this interval contain x-coordinate of point of Maximum.
Thus, this option is correct
Option D:
Interval is ( 2 , 4 ) means x > 2 & x < 4
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Therefore, Option C is correct.
