EXAMPLE 7 Find the critical numbers of the function. f(x) = x3/5(8 − x). SOLUTION The Product Rule gives the following. f '(x) = x3/5 Correct: Your answer is correct. + (8 − x) Correct: Your answer is correct. = Correct: Your answer is correct. + 3(8 − x) Correct: Your answer is correct. = Incorrect: Your answer is incorrect. + 3(8 − x) Correct: Your answer is correct. =

In golf, the expected number of strokes required for a golfer to complete a hole is called “par.” the number of strokes above or below par determines a golfer’s score for each hole. a lower score is better. for example, if a hole is denoted par four and a golfer takes six strokes to complete the hole, then the golfer’s score is +2. if the golfer takes three strokes, his or her score would be –1, because three is one below par. on the first hole, john charles made par. on the second hole, he made two below par. on the third, he made one above par. on the fourth, he made two below par. what is john charles’ score so far? on the first four holes, elizabeth claire scored one above par, two below par, three above par, and par. what is elizabeth claire’s score so far? who is ahead in the game? explain your answer. what does a score of zero mean in this game? interpret −3 < 2 in the context of this game. interpret |-3|< 2 in the context of this game.