AP Review Questions Chapters 1 – 4

Complete the analogy. Clark Kent : Superman :: Bruce Wayne : 10 Hulk Batman Spiderman Wolverine 1 2 3 4

A calculator may not be used on these questions. Unless otherwise stated, the domain of a function is assumed to be all real numbers x for which f(x) is a real number.

If x2 + xy = 10, then when x = 2, -7/2 -2 2/7 3/2 7/2 10 1 2 3 4

If ln 2 ln 8 ln 16 4 nonexistent 10 1 2 3 4

What is the instantaneous rate of change at x = 2 of the function f given by -2 1/6 ½ 2 6 Answer Now 1 2 3 4

A particle moves along the x- axis so that its position at time t is given by x(t)=t2-6t+5. For what value of t is the velocity of the particle zero? 1 2 3 4 5 1 2 3 4

If f(x)=sin(e-x), then f’(x) = -cos(e-x) cos(e-x) + e-x cos(e-x) - e-x e-x cos(e-x) -e-xcos(e-x) 10 1 2 3 4

An equation of the line tangent to the graph of y = x + cos x at the point (0,1) is :15 1 2 3 4

If f”(x) = x(x+1)(x-2)2, then the graph of f has inflection points when x = 10 Seconds Remaining -1 only 2 only -1 and 0 only -1 and 2 only -1, 0 and 2 only 1 2 3 4

If = ky and k is a nonzero constant, y could be Answer Now 2ekty 2ekt ekt + 3 kty + 5 .5ky2 + .5 1 2 3 4

The function f is given by f(x)=x4+x2-2 The function f is given by f(x)=x4+x2-2. On which of the following intervals is f increasing? (-.707, ∞) (-.707, .707) (0, ∞) (-∞,0) (-∞,-.707) 15 1 2 3 4

If f(x) = tan(2x), then 10 3 2 3 4 4 3 8 1 2 3 4