Determine, by hand, the interval(s) where is increasing and/or decreasing.
A) increasing and ; decreasing
B) increasing ; decreasing
C) increasing and ; decreasing and
D) increasing ; decreasing and

Question

Determine, by hand, the interval(s) where  is increasing and/or decreasing.
A) increasing and ; decreasing 
B) increasing ; decreasing 
C) increasing and ; decreasing and 
D) increasing ; decreasing and

Quizplus · Accepted Answer

To determine if a function is increasing or decreasing, we need to look at its derivative. In this case, the derivative of 11eaa948_cd40_3d2b_84bc_1398d7502f87_TB2342_11 is 11eaa948_cd41_4c4f_84bc_cf0e96d2186f_TB2342_11, which is positive for values of x between 11eaa948_cd40_6441_84bc_9f84eb655a0d_TB2342_11 and 11eaa948_cd40_8b52_84bc_fb3c988396fc_TB2342_11, indicating an increasing function. The derivative is negative for values of x between 11eaa948_cd40_8b53_84bc_756935e96800_TB2342_11 and 11eaa948_cd40_8b54_84bc_19b44c0a39c7_TB2342_11, indicating a decreasing function. Therefore, the correct choice is C.

Determine, by Hand, the Interval(s) Where Is Increasing And/or