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Exercises
UF Calculus Set 3
1. Given the graph of
f
(
x
)
shown:
(a) What is
f
(2)
?
(b) Solve the equation
f
(
x
) = 0
.
(c) What are the domain, range of
f
?
(d) True/False: The pair
(1
,
2)
is on the graph of the relation
x
2
+
y
2
=
f
(
x
)
.
2. Determine whether the following represent functions:
(a) a graph that intersects the
y
axis in two places (two
y
intercepts)
(b) a rule that associates a student with his/her current most favorite song
(c) a rule that associates, to a given time, the distance from a swinging pendulum to its
lowest point
(d) a rule that associates, to a given distance, the time at which a swinging pendulum is that
distance from its lowest point
3. Roughly sketch what you believe to be a typical graph of the functions below:
(a) the temperature outside today as a function of the number of hours after midnight
(b) the percent a student scores on an exam as a function of the number of study hours
(c) the vertical distance
D
from your hand to the nearest object as you move it horizontally
across your desk and over a textbook (picture provided)
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View Full Document4. The volume (in gallons) of water in a tank is recorded over
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 Spring '08
 ALL
 Calculus, Geometry

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