B (-2,0)
C (0,2)
D (2,4)
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.
C it contains the highest y value
I assume that the question is missing log(5).
log(5) = 0.6990
We can factor out log(25) using 5.
log(25) = log(5^2)
Rewrite it using the power rule [ ]
log(5^2) = 2 log(5)
Simplify using the given values.
2(0.6990)
1.3980
Therefore, log(25) = 1.3980
Best of Luck!