Calculus Maximus
Limits
Page 1 of 4
Name_________________________________________ Date________________________ Period______
Calculus Prerequisites
Worksheet—Day 1
Work the following on notebook paper.
All work must be shown. Use your
calculator only on problems
14-17 and problems 30-32.
Find the equations of the asymptotes (horizontal, vertical, and slant), symmetry, and intercepts, then sketch
the graph.
5.
2
2
2
8
16
x
y
x
−
=
−
6.
2
2
3
2
x
x
y
x
−
−
=
+
Solve.
7.
(
)(
) (
)
3
2
1
3
2
0
x
x
x
+
−
+
≥
8.
4
3
0
1
x
x
−
<
+
Solve.
Show all steps.
Give decimal answers correct to
three
decimal places.
14.
2
12
0
x
x
e
e
−
−
=
15.
(
)
(
)
3
3
log
4
log
1
2
x
x
+
−
−
=
16.
(
)
(
)
2
3
5
log
log
log
0
x
=

Calculus Maximus
Limits
Page 2 of 4
17.
The number of junior and senior students at NBHS infected with the “Math Bug”
t
days after exposure
is modeled by the function
3
500
( )
1
3
t
P t
−
=
+
.
a.
How many students were originally infected?
b.
How many of these students were infected after four days?
c.
When will 200 of these students be infected?

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- Spring '08
- SPAETH
- Calculus, Algebra, Derivative, Calculus Maximus