Hello from MrBillDoesMath! 
 
Answer: 
The second choice, [1,2]
Discussion: 
 The key to this question is that we are looking for "local maximum". In the graph a local maximum, think "camel hump", occurs in the interval [1,2] -- but the global maximums, if there is one, appears to occur in x > 3 and x < -1
 
Thank you, 
 
MrB