Unit 5 AP Multiple Choice Review (FM)

• None

• One

• Two

• More than two

The table shows values of a function f at select x values. If f is twice differentiable on the interval [1, 5], which of the following statements could be true?

• f' is negative and decreasing on [1,5]

• f' is negative and increasing on [1,5]

• f' is positive and decreasing on [1,5]

• f' is positive and dincreasing on [1,5]

• f has a relative maximum at x=-3 and a relative minimum at x=4

• f has a relative minimum at x=-3 and a relative maximum at x=4

• f has a relative maximum at x=3 and a relative minimum at x=-4

• f has a relative minimum at x=3 and a relative maximum at x=-4

• 1

• 2

• 3

• 4

• 6

• I and II only

• I and III only

• II and III only

• I, II, and III

• III only

• The graph has two points of inflection and one relative extremum

• The graph has one point of inflection and two relative extrema

• The function has two points of inflection and two relative extrema

• The graph has two points of inflection and three relative extrema

• 0 and -2 only

• 0 and 2 only

• 0 only

• -2 and 2 only

• -2, 0, and 2 only

• 0

• 1

• 2

• 3

• 4

The graph of the function f is shown in the figure. For which of the following values of x is f'(x) negative and decreasing?

• a

• b

• c

• d

• e