Question

determine whether the following statement is true or false.
the minimum value of the function ( y = 4cos x+1 ) is ( -3 ).
is the statement true or false?
false, the minimum value is ( -4 ).
true.
false, the minimum value is 1.
false, the minimum value is 0.

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.