Simplify: 3^{log3(-5)} =
A. -5
B. 3 C. 9 D. undefined

Question 3

If f(x) = -2x^{2} + 8x - 4, which of the following is true?
A. The maximum value of f(x) is - 4. B. The graph of f opens upward. C. The graph of f has no x-intercept D. f is not a one to one function.

Question 4

If f(x) = 5 - 2^{x}, then f^{-1}(- 3) =
A. 8/39 B. -3 C. 3 D. 32

Question 5

If log_{x}(3) = 1/4, then x =
A. 81 B. 1/81 C. 3 D. 9

Question 6

If f(x) = -x^{2} + 1, then f(x + 1) =
A. -x^{2} + 1 B. -x^{2} - 2x C. -x^{2} D. -x^{2} -2x - 2

Question 7

If f(x) = x - 4, then (f_{o}f)(3) = =
A. 1 B. -1 C. -5 D. 5

Question 8

If ln(3x - 2) = 1, then x =
A. 2/3 B. (2 + e)/3 C. 3/2 D. e/3

Question 9

The number of solutions of (x^{2} + 1)^{2} + 2(x^{2} + 1) - 3 = 0 is equal to
A. 1 B. 2 C. 3 D. 4

Question 1o

If the graph of y = (x - 2)^{2} - 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
A. y = x^{2} + 2
B. y = (x - 2)^{2} + 5
C. y = (x + 2)^{2} + 2
D. y = (x - 4)^{2} + 2

Question 11

If f(x) = -e^{x} - 2, then the range of f is given by the interval
A. (-∞ , -2) B. (-∞ , +∞)
C. (-2; , +∞) D. (-∞ , +2)

Question 12

If f(x) = √(x - 1) / (x^{2} - 9), then the domain of f is given by the interval
A. (1 , +∞) B. (-3 , +3)
C. [1 , 3)U(3 , +∞) D. (-3 , 3)U(3 , +∞)

Question 13

The number of points of intersections of the graphs of y = 2^{x} and y = -x^{2} + 2 is equal to
A. 0 B. 1 C. 2 D. 3

Question 14

If f(x) = ln(x + 1) - 2, then f^{-1}(x) =
A. e^{x + 1} - 2
B. e^{x} - 2
C. e^{x + 2} - 2 D. e^{x + 2} - 1

Question 15

For all x real, √(x^{2} -4x + 4) =
A. x - 2 B. x + 2x + 2
C. |x - 2| D. x + 2

Question 16

The value of x that makes x^{2} + 6x + 13 maximum is equal to
A. 6 B. -3
C. 13 D. 3

Question 17

e^{ln(3) - ln(2) + ln(1/x)} =
A. 3 / (2x) B. 3x/2
C. 1 + 1/x D. 3/2 - 1/x

Question 18

If f(x) = (x - 1) / (x + 2), then the range of f is given by the interval
A. (-∞ , -2)U(-2 , +∞) B. (-∞ , 1)U(1 , +∞)
C. (-2; , +∞) D. (-∞ , 1)

Question 19

ln((x - 1)^{2}) = 2 ln(x - 1) for all x in the interval
A. (-∞ , +∞) B. [0 , +∞)
C. (-∞ , 1)U(1 , +∞) D. (1 , +∞)

Question 20

Let f(x) = x^{2} + 2x + 4. Which of the following statements is NOT true?
A. f(x) has a maximum value B. The graph of f is not a line
C. The graph of f has no x-intercepts. D. The graph of f has a y-intercept.