Practice Page
Directions: Read carefully. Choose the best answers.

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:
 
endm1b
 
eb2
 
eb3
 
eb4
featuregraph2

 

 

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:
domain17
headthink
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:
 

fea1g
fea2g
fea3g
fea4g

 

 

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

 

 

7.
Given the graph shown at the right.
ffgraphThe 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]
ffgraphThe 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:
 
p2
p3
 
p4
p5



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