Precalculus Review (Multiple Choice Practice)
No calculators permitted.
1. If x = –5, arrange the following from highest to lowest.
⎛ −1 ⎞
I. ⎜ ⎟
⎝ 2x ⎠
−1
(A) I, II, III
⎛ 4⎞
II. ⎜ 2 ⎟
⎝x ⎠
(B) I, III, II
−3 2
⎛ −8 ⎞
III. ⎜ 3 ⎟
⎝x ⎠
−2 3
(C) II, III, I
(D) II, I, III
(E) III, II, I
2. Which of the following functions does not include x = –4 in its domain?
(A) y =
1
x +4
2
(B) y = 4 − x−4
(C) y = x + 4
(D) y =
x+4
x 2 −16
(E) x = –4 is in the
domain of all
3. If AB ⊥ CD what is the perimeter of triangle ABC?
(A) 4 + 4 3
x −2 − y −2
4. Simplify
x−y
1
(A)
x−y
(B) 6 + 2 3
(B)
1
x − y3
3
(C) 3 + 2 3 + 15
(C)
−y − x
x 2 y2
-1-
(D) 3 + 4 3 + 15 (E) 6 + 3 3
(D)
1
1
− 2
2
y x x y
(E)
1 1
−
x 3 y3
ax + b
has a vertical asymptote at x = 4 and a horizontal asymptote at y = 4 , what
cx + d
relationship must be true?
5. If the graph of y =
(A) a + b = 0
6. If f ( x ) = x 3 , find
(A) 0
(B) a + d = 0
(C) b + c = 0
(D) c + d = 0
(E) a + d = b + c
(C) 3x 2
(D) 3x 2 + h 2
(E) h 2
f ( x + h) − f ( x − h)
.
2h
(B) 3xh − h 2
7. If a is the number of solutions to the equation 4x = 12 and b is the number of solutions to the equation
6 − 3x + x = 0 , what is the sum a + b ?
(A) 0
(B) 1
(C) 2
()
(D) 3
(E) 4
8. The graph in the figure below is f x . It passes through the points (2, –1) and (4, –5) and has one root. What
()
is a possible equation of the transformation of f x that would give it 3 roots?
(A) f ( x +1)
(B) f ( x ) +1
(C) f ( x + 2 )
-2-
(D) f ( x ) + 2
(E) − f ( x ) −1