Chapter 1 Test
September 6, 2007
Name
1. Find the equation of the line, in General Form, for the line that passes through the point
H

2, 4
L
and is perpendicular to
the line
3 x
+
2 y
=
7
2. Draw a sketch of the line

1
ÄÄÄÄÄÄÄÄ
2
H
y
+
4
L
=
x

3,
clearly showing the scale on each of the axes, and labeling two points.
3. Determine if the following function is even or odd.
Be sure to justify your answer.
f
H
x
L
=
x
3
sin x
4. The following function is of the form
f
H
x
L
=
a cos
@
b
H
x

h
LD
+
k.
Determine the value for the constants
a, b, h, and k.
Make sure that the constant a is positive.
p

5
p
ÅÅÅÅÅÅÅÅ
6

2
p
ÅÅÅÅÅÅÅÅ
3

p
ÅÅÅÅ
2

p
ÅÅÅÅ
3

p
ÅÅÅÅ
6
p
ÅÅÅÅ
6
p
ÅÅÅÅ
3
p
ÅÅÅÅ
2
2
p
ÅÅÅÅÅÅÅÅ
3
5
p
ÅÅÅÅÅÅÅÅ
6
p
x

3

2

1
1
y
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5. Draw a sketch of the curve
y
=
2
ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
3

x
,
clearly showing the scale on each of the axes, and labeling three points.
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