BC Practice AP mixed released (units 1-8) Calculator

• f is continuous at x=0

• f is differentiable at x=0

• f has a critical point at x=0

• f has an absolute minimum at x=0

• The concavity of the graph of f changes at x=0

• (0.831,7.384)

• 7.5

• 9.5

• 27.5

• 47

• 48.5

The graph of f', the derivative of the function f, is shown. Which of the following statements must be true?

I. f has a relative minimum at x=-3

II. The graph of f has a point of inflection at x=-2

III. The graph of f is concave down 0<x<4

• I only

• II only

• III only

• I and II

• I and III

• x=0 only

• x=1 only

• x=0 and x=1

• x=-1 and x=1

• There are no points of inflection on -2<x<2

• -0.637

• 0.500

• 0.763

• 1.198

• 1.882

If the function f is continuous at x=3, which of the following must be true?

• The derivative of f at x=3 exists

• The derivative of f is positive for x<3 and negative for x>3

• (-0.418,0.418)

• (-1,1)

• (-1.354,-0.409) and (0.409,1.354)

• (-1.5,-1) and (0,1)

• (-1.5,-1.354) and (-0.409,0) and (1.354,1.5)

• 0.215 mpg per hour

• 4.299 mpg per hour

• 19.793 mpg per hour

• 25.793 mpg per hour

• 515.855 mpg per hour

• 0.442

• 1.029

• 1.296

• 3.233

• 4.071