Review Questions
Review Questions
1. f(x) = ax and g(x) = bx. If fg(x) = 5x2 + 2, what is ab?
(A) ab = 5x
(B) ab = 5x +
(C) ab = x2
(D) ab = 7x
(E) Impossible to tell
2. If f(x) = 2x and g(x) = , what is f–1(g–1(2))?
(A) 0
(B)
(C) 1
(D)
(E) 2
3. If f(x) = 2x – 3, g(x) = x + 1, h(x) = 3x, and g(f(3)) – h(x) = 1, what is x?
(A) 0
(B) .5
(C) 1
(D) 1.5
(E) 2
4. Which of the following lines are asymptotes of the graph y = 2?
  I. x = 2
 II. y = 2
III. y = 0
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III
5. A portion of the graph of y = f(x) is shown in the figure below. Which of the following could be f(x)?
(A) x4 + ax3 + bx2 + cx
(B) x4 + ax2 + b
(C) x4 + ax3 + bx2 + cx + d
(D) x3 + ax2 + bx + c
(E) x4 + b2x2 + c2
6. Suppose f(x) = –f(–x). Which of the following could be the graph of y = f(x)?
(A)
(B)
(C)
(D)
(E)
7. What is the maximum value of the function f(x) = 10 – 2(x – 3)(x + 3)?
(A) –28
(B) –8
(C) 0
(D) 8
(E) 28
8. If f: (x, y) = (x y, x + y) for every pair (x, y) in the plane, for what points (x, y) is it true that (x, y) = (x, y)?
(A) (0, 0) only
(B) The set of points (x, y) such that x = 0
(C) The set of points (x, y) such that y = 0
(D) The set of points (x, y) such that x = y
(E) The set of points (x, y) such that 2x = y
Help | Feedback | Make a request | Report an error