1.
Given f (x) =(x + 2)(x - 1)(x - 3), find:

a) Find the y-intercept of f (x).
Choose:
 6 2 -6 -2
b) Find the zeros of f (x).
Choose:
 2, -1, 3 2, 1, 3 -2, 1, 3 6, -2, 3
c) On which given interval is f (x) increasing?
Choose:
 (-2,1) (-4,8) (-∞,0) (3,∞)
d) On which given interval does
f (x) have a relative maximum?
Choose:
 (-∞,-2) (-2,0) (0,3) (3,∞)

2.
Which choice describes the end behavior for the graph shown at the right?

Choose:

3.
A function is defined by the equation f (x) = 5x + 2. If the domain is 2 x 6, find the minimum value in the range of the function.

Choose:
 -∞ 2 12 32

4.
Find the domain of the function:
Choose:
 All Reals (3,∞) [3,∞) All Reals - {-2} - {3}

5.
Which graph possesses the following features?
• decreasing on (2,3)
• increasing on (3,∞)
• relative minimum at (3,-4)
• positive on (-1,2)

Choose:

6.
If the domain of f (x) = 2x + 1 is {-2 < x < 3}, which integer is not in the range?
Choose:
 -4 -2 0 7

7.
Given the graph shown at the right.
The domain of this function is [-5,5].
a) Which coordinate(s) represents relative maxima for this graph?
Choose:
 (0,4) (0,4) and (5,5) (0,4) and (-5,3) (-3,0) and (3,-1)

b)
Which interval(s) represents the function increasing?

Choose:
 (-5,-3) and (0,3) (-3,0) and (3,5) (0,4) and (-1,5) (0,4) and (3,5)

c)
What is the range of this function?

Choose:
 (-5,5) (-3,4) (-1,4) (-1,5)

d)
What is the absolute maximum value of this function?

Choose:
 -1 0 5 4

e)
What is the absolute minimum value of this function?

Choose:
 -1 0 5 4

8.
If the domain of g(x) = (x - 1)2 + 4 is limited to {-3,-2,-1,0,1,2,3,4}, what is the maximum value of the range?

Choose:
 4 8 13 20

9.
Which of the choices best represents the intervals upon which the function shown at the right is considered "positive"?

Choose:
 [-5,5] (0,5] [-5,2) and (3.75,5] [-5,-3), (-3,2) and (3.75,5]
The domain of this function is [-5,5].

10.
Which of the following functions has the characteristics:
• domain all Reals
• increasing (-∞, ∞)
• positive (0, ∞)
• as x → ∞, y → ∞
• as x → -∞, y → 0

Choose: