Unit 3 Review
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1.
Find the [a] vertex and [b] axis of symmetry of the graph of
1.
a.
Vertex:
___________
.
(
29
7
4
8
2


=
a
x
x
f
[c]
Does it have a minimum or maximum; if so which?
b.
Axis of Sym:
_____
c.
_________________
2.
Graph the quadratic function f(x) = x
2
+ 4x + 7
by determining whether
the graph opens up or down
_______
and by finding its vertex
___________
axis of symmetry
___________,
x and yintercepts, if any,
___________
7
6
5
4
3
2
1
1
2
3
3
2
1
1
2
3
4
5
6
7
8
9
10
11
12
13
x
y
3.
The graph of f(x) = ax
2
+ bx +c has its vertex at
(5, 4)
and passes through
3.
a = ____
the point (2, 94).
Find the values of a, b, and c.
b = ____
c = ____
4.
Which of the following is not a polynomial?
4.
_______
[A]
x


2
2
[B]
x
x

+
2
2
9
[C] 
π
[D]
x

2
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Use the graph below [f(x) =  ½ x
2
+ 1; g(x) = x – 3] to answer questions 5 and 6.
5.
Find f(x)
≥
g(x)
5.
______________
6.
Find f(x) < 1
6.
______________
7.
Graph the function
(
29
(
29
= 


f
x
x
4
4
1
7.
_______
[A]
[B]
[C]
[D]
8
For
(
29
(
29
(
29
(
29
= 
+
+
+
f
x
x
x
x
2
2
1
5
3
2
1
3
, find the power function, maximum turning
points, the real zeros, and whether the graph touches or crosses at the xaxis.
a.
What is the power function?
8.
a.
_______
b.
What is the maximum number of turning points?
b.
_______
c.
What is the end behavior of the graph as x →±∞?
c.
_______
[a] Both ends approach +∞.
[b] y → +∞ to the right and ∞ to the left.
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 Fall '08
 Staff
 Limit of a function

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