Axis Graphs Worksheet Page 3
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1
2
3Without a calculator, give the requested information and draw a rough sketch of the graph using the leading
coefficient test, zeros of the polynomial, multiplicity, and testing between the zeros.
Equation
End behavior
Testing between
Graph (rough graph)
zeros (pos / neg)
12)
→
∞
→
=
−
−
+
+
2
As
f(-7) =
x
,
f
(
x
)
f
(
x
)
( 2
x
) 3
(
x
6
)(
x
) 2
f(-4) =
→
−∞
→
As
x
,
f
(
x
)
f(0) =
f(4) =
zeros: ___________________
13. For the following graphs, state the degree of each function and whether the leading coefficient is
positive/negative.
a)
b)
Degree: ________
Degree: ________
Leading Coefficient: _______
Leading Coefficient: _______
nd
For #14-15, use a graphing calculator to find all the real zeros of the polynomial function (2
CALC).
Determine the multiplicity of each zero. Draw a rough sketch of what the graph looks like. Add as many rows
as you need for the zeros you find.
4
3
2
14) f(x) = x
– 6x
+ 12x
– 8x
Sketch
Zero __________ Multiplicity __________
5
3
15) f(x) = x
– 6x
+ 9x
Sketch
Zero __________ Multiplicity __________
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