Step-by-step explanation:
The answer is [ 0 , 2 ]
But what is local maximum?
We say local maximum when there may be higher points elsewhere but not nearby.
What is local minimum?
We say local minimum when there may be lower points elsewhere but not nearby.
The general word for maximum(plural maxima) or minimum(plural minima) is extremum (plural extrema).
The maximum point is at ( 1.55 , 10.8 )
What the question means to ask in basic terms is that , between what interval of x ( on the x - axis ) can we find the maximum point if the curve .
And you will agree with me that it is between the interval of [ 0 , 2 ] , every other interval in the options doesn't contain the maximum point.
You can also visit this link to know more :
https://www.mathsisfun.com/calculus/maxima-minima.html
