Math 102
Linear Equations and Models
1. Find the equation of the line in form y = mx + b
a) with slope 6 passing through point (-, 2)
b) passing through points (-1,-1) and (1,3)
c) passing through points (4,3) and (-2,5)
d) parallel to y=-3x+2 that passes
Functions: Properties, Algebra, and Graphs
1. In each case, find the domain of the given function:
a)
b)
c)
d)
e)
f)
2. Given the following functions:
f(x) = x2 + 2x and
g(x) = 1 / x
find and simplify:
a) f(x-1)
b) g(a+b)
c) (f(x) - x) / x
d) g(f(x)
e) f(
An Introduction to Trigonometry
P.Maidorn
I. Basic Concepts
The trigonometric functions are based on the unit circle, that is a circle with radius r=1.
Since the circumference of a circle with radius r is C=2Br, the unit circle has circumference 2B.
For a
MAT102F - Introduction to Mathematical Proofs - Fall 2015 - UTM
Quiz 4 (Version A) - November 19, 2015 - SOLUTIONS
1. Consider the following six sets
RQ
,
P (N)
,
(no explanation is needed for this question).
[ , ] Z
,
N cfw_0 , 1
,
(0 , )
,
(3 marks)
cfw