By
Oumar Guye, Ph.D.
Department of Mathematics, University of Manitoba
Definition 1:
Let be a defined function in [a, b]. The average rate of change in [a, b] is
given by
ARC [ a , b ]
f (b) f (a)
ba
Example 1:
Let f be a function defined by
[1, 2].
f (

MATH1500 Laboratory #3 Exercises Solution Key
if 2
if 2 4
if 4
2
. Given the function 4
4
Find the numbers at which is discontinuous. At which of these numbers is continuous
from the right, from the left, or from neither? Sketch the graph of .
is cont

MATH1500 Laboratory #1 Exercises
Part I This self-check exercise is to determine if you have the pre-requisite skills necessary to
be successful in your study of calculus.
1.
Evaluate each expression without using a calculator.
a)
d)
2.
4
523
3
34
f)
2 2

MATH1500 Laboratory #3 Exercises
2
. Given the function 4
4
if 2
if 2 4
if 4
Find the numbers at which is discontinuous. At which of these numbers is continuous
from the right, from the left, or from neither? Sketch the graph of .
2.
Use the Intermedia

International College of Manitoba
University of Manitoba, Fort Garry Campus
508 University Centre, Winnipeg, MB, R3T 5Z3
Program:
UTP Stage 2 Science
Course:
MATH1500 - Introduction to Calculus
Instructor:
Oumar Guye
Class Hours:
Thursdays 8:30pm 12:30pm