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)
c. ( f + g ) ( x ) = f ( x ) + g ( x )
( f g ) ( x ) = f ( x ) g ( x )
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
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)
Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.
- 4x3 + 6x
x -2x4 + 3 x3 + 9
Find all points where the functio
Math 1325 Final Exam Review Solutions
False; It is equivalent to f (1) .
e. False; ( f g ) ( x ) = f ( x ) g ( x ) + g ( x ) f ( x )
f ( x) g ( x) g ( x ) f ( x)
f. False; ( x ) =
g ( x )
False; They also
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,