determine whether the following statement is true or false.\nthe minimum value of the function ( y = 4cos…
determine whether the following statement is true or false.\nthe minimum value of the function ( y = 4cos x+1 ) is ( -3 ).\nis the statement true or false?\nfalse, the minimum value is ( -4 ).\ntrue.\nfalse, the minimum value is 1.\nfalse, the minimum value is 0.
Answer
Explanation:
Step1: Recall the range of cosine function
The range of ( \cos x ) is ( [- 1,1] ).
Step2: Find the minimum value of ( y = 4\cos x+1 )
When ( \cos x=-1 ), ( y = 4\times(-1)+1=-4 + 1=-3 ).
Answer:
True.