Find the absolute maximum value and the absolute minimum value, if any, of the function.
A)Absolute maximum value: 3; Absolute minimum value: 4
B)Absolute maximum value: 4; Absolute minimum value: none
C)Absolute maximum value: none; Absolute minimum value: 4
D)Absolute maximum value: 2; Absolute minimum value: 3
E)g(x) has no absolute extrema

Question

Find the absolute maximum value and the absolute minimum value, if any, of the function. 
A)Absolute maximum value: 3; Absolute minimum value: 4 
B)Absolute maximum value: 4; Absolute minimum value: none 
C)Absolute maximum value: none; Absolute minimum value: 4 
D)Absolute maximum value: 2; Absolute minimum value: 3 
E)g(x) has no absolute extrema

Quizplus · Accepted Answer

Since $g(x)$ is a cosine function, the maximum value it can attain is $4$ (when $\cos(x)=1$) and it doesn't have a minimum value in this interval (since the cosine function's minimum is $-1$). Therefore, the absolute maximum value is $4$ and the absolute minimum value does not exist.

Find the Absolute Maximum Value and the Absolute Minimum Value