Math 1325 Final Exam Review
1. True or False:
a. f ( a ) is equivalent to the slope of the tangent line at ( a, f ( a ) )
f (1 + h ) f (1)
is equivalent to f (1)
h0
h
c. ( f + g ) ( x ) = f ( x ) + g ( x )
b. lim
d.
( f g ) ( x ) = f ( x ) g ( x )
e.
( f
Math 1325 November 26, 2012 UNSTAPLED WORK WILL NOT BE TAKEN!
Name and section number (10 points)
Problem 1 (60 points) The graph below shows the arrival rate of students to the tutoring room for help.
At 7:00 there is no one in line. The tutoring room op
NAME:
SECTION NUMBER: (10 points)
Problem 1 (40 points) The following table gives the rate, in cubic centimeters, that air is leaking from a balloon t
seconds after it is inated. Let r(t) be that rate. Write a mathematical expression that would nd each of
Decide whether the limit exists. If it exists, find its value.
1) lim f(x)
x 1
Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.
- 4x3 + 6x
2) lim
x -2x4 + 3 x3 + 9
Find all points where the functio
Math 1325 Final Exam Review Solutions
1.
a.
b.
c.
d.
True
False; It is equivalent to f (1) .
True
True
e. False; ( f g ) ( x ) = f ( x ) g ( x ) + g ( x ) f ( x )
f ( x) g ( x) g ( x ) f ( x)
f
f. False; ( x ) =
2
g ( x )
g
g.
h.
i.
j.
False; They also
MATH 1325
Name and Section Number (10 points): _
Unless otherwise indicated, each question is 10 points.
1. (30 points) The graph of y f ( x) is shown below. Arrange the following values in
order from smallest to largest by placing a "1" by the smallest,