Second Derivatives and Beyond Thinking Critical True Or False

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1.	A critical point of a function f is a point at which -> f ' is zero or undefined True False
2.	Which of the following statements about the function is true? -> x = 0 is the only critical point of f. True False
3.	An inflection point of a function f is a point at which -> f " is zero or undefined True False
4.	Which of the following statements about the function f(x) = 4(x – 1) – 8 is true? -> x = 1 is the only inflection point of f. True False
5.	A maximum value of a function f is -> a y-value that is bigger than every nearby value of f. True False
6.	How many minima does the function f(x) = -5cos x have? -> one True False
7.	x = c is a critical point of the function f. The sign of f ' is negative to the left of c and positive to the right of c. Which of the following statements is true? -> A minimum value of f occurs at x = c. True False
8.	x = c is a critical point of the function f. If f "(c) = 0, which of the following statements is true? -> The second derivative test says nothing at all about what occurs at x = c. True False
9.	If the derivative of a function f is f '(x) = (x – 2)(x + 5), which of the following statements is true? -> f has a minimum at x = 2 and a maximum at x = -5. True False
10.	The derivative of the function f is f '(x) = 4x + 8 Which of the following statements is true? -> f has a minimum at x = 2. True False

Second Derivatives and Beyond True or False

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