Question 24 > > The function f(x) = 2 + 1.71x + 111.7464x + 7.74 is increasing on the open interval ( ). It is decreasing on the open interval ( -, ) and the open interval ( , x ). The function has a local maximum at Question 25 < > Consider the function f(x) = 12x + 30x4 - 300x + 7. For this function there are four important intervals: (, A], [A, B],[B, C], and [C,) where A, B, and C are the critical numbers. Find A and B and C At each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. At A At B At C Question 26 < > Consider the function f(x) = 2x +42x - 240x + 8. For this function there are three important open intervals: (-, A), (A, B), and (B, ) where A and B are the critical numbers. Find A and B For each of the following open intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-, A]: (A, B): (B,): Question Help: Video Question 27 Consider the function f(x) = < > 6x+7x. For this function there are four important open intervals: (-, A), (A, B), (B, C), and (C, ) where A, and C are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-, A): (A, B): (B, C): (C,): Question 29 Below is the function f(x). 7 -7 -6-b -4 -3 6 5 4 3 2 1 -2 -3 -4- -5 -6 > 2 3 4 6 Over which interval of a values is f'> 0? (3,) [3,) (-0,3) 0 (-0,3] 0 (-00,00] Over which interval of a values is f' < 0? (3,) [3,) (-0,3) 0 (-0,3] 0 (-00,00] Over the interval (-, ), this function is O concave up (f"> 0) O concave down (f" < 0) Question Help: Video