Find the absolute extrema of the function on the closed interval Round your answer to two decimal places.
A) The maximum of the function is 1 and the minimum of the function is 0.
B) The maximum of the function is 2.92 and the minimum of the function is 1.
C) The maximum of the function is 2.92 and the minimum of the function is 0.
D) The maximum of the function is1 and the minimum of the function is 2.52.
E) The maximum of the function is 0 and the minimum of the function is 2.52.

Question

​Find the absolute extrema of the function  on the closed interval  Round your answer to two decimal places. ​
A) ​The maximum of the function is 1 and the minimum of the function is 0. 
B) ​The maximum of the function is 2.92 and the minimum of the function is 1. 
C) ​The maximum of the function is 2.92 and the minimum of the function is 0. 
D) ​The maximum of the function is1 and the minimum of the function is 2.52. 
E) ​The maximum of the function is 0 and the minimum of the function is 2.52.

Quizplus · Accepted Answer

To find the absolute extrema, we need to evaluate the function at the critical points and the endpoints of the given interval. The derivative of the function is 11ea8970_69b9_5faa_861b_b5a6f5b3fd9d_TB1301_11. Setting it equal to zero, we get e^(-x)=1/2, which gives x=ln(2). Evaluating the function at the critical points and endpoints, we get:

f(0)=0
f(ln(2))=2.92
f(2)=0

Therefore, the maximum of the function is 2.92 and the minimum of the function is 0, which is only possible for choice C.

​Find the Absolute Extrema of the Function on the Closed

Find the Absolute Extrema of the Function on the Closed