Axis Graphs Worksheet Page 2
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1
2
36) Write the following in vertex form.
2
2
a) f(x) = x
+ 8x + 13
b) f(x) = x
- 6x + 11
7) Write the following in standard form.
2
a) f(x) = 3(x - 4)(x + 2)
b) f(x) = (x-3)
- 10
8) Describe the end behavior of the polynomial function.
→
∞
→
−
+
4
As
x
,
f
(
x
)
3
x
2
x
5
=
a)
f
(
x
)
→
−∞
→
As
x
,
f
(
x
)
4
→
∞
→
=
−
+
−
5
3
As
x
,
f
(
x
)
b)
f
(
x
)
2
1 .
x
4
x
2
→
−∞
→
As
x
,
f
(
x
)
For #9-10, find a polynomial of degree n that has the given zeros. (There are many correct answers)
9) Zero(s): x = -5, 1, 2
10) Zero(s): x= -3, 1, 5, 6
Degree: n = 3
Degree: n = 6
Equation:
Equation:
Graph (rough graph)
Graph (rough graph)
11)
True or False
______a) A fifth-degree polynomial can have five turning points (bends) in its graph.
______b) Is it possible for a sixth-degree polynomial to have only one real solution?
=
−
+
−
+
−
+
+
−
2
3
4
5
6
7
______c) The graph of the function given by:
f
(
x
)
2
x
x
x
x
x
x
x
rises to the left and falls to the right.
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