Practise, Apply, Solve 4.6, page 345
1. (a) Is inverse variation; x increases as y decreases; xy remains 48.
(b) Is inverse variation; x decreases as y increases; xy remains
3600.
(c) Not inverse variation; x and y both increase; xy does not
remain consta

Investigating Properties
of Inverse Functions
In this section, you will explore the properties of certain inverse functions.
Part 1: Investigating the Relationships
Between y =
The teacher asked Tom, "What is the inverse of y = x 2 ?" He replied, "y = Vx.

TABLE OF CONTENTS
UNIT TITLE: CHAPTER 1: INTRODUCTION TO FUNCTIONS
DATE
LESSON
NO.
Mon
Feb 2
LESSON TITLE
HOMEWORK
Introductions
Handouts
Cover Textbook
Tues
Feb 3
1
Relations and Functions
p. 10-12 #1,2,4,6,8,9,11,12
Wed
Feb. 4
2
Function Notation
p. 22-

Example 2
Find the complex roots of the equation 4x 2 2 2x 1 3 5 0.
Solution
Substituting a 5 4, b 5 22, and c 5 3 in the quadratic formula gives
x5
2 2 4w
2b 6 bwac
2a
x5
2 w(3)
w2
4(4)w
2(22) 6 (22)
2(4)
x5
w
2 6 4
2 48
8
x5
w
2 6 244
8
x5
2 6 44i
w

37. Determine the present value
(a) of a loan of $1500 that is due in 20 weeks. The interest rate is 6%/a,
compounded quarterly.
(b) of a loan of $100 000 that is due in 3 years 8 months. The interest rate is
7%/a, compounded semiannually.
38. A rare coin

Given this information, you know that the graph of
1
y 5
2x 2 2 7
x 2 4
y
10
1
has vertical asymptotes at x 5 22 and x 5 4
has three parts to it
crosses the parabola where y 5 1 and y 5 21
1
has a high point between the asymptotes at 11.75,
210.125 2
o

4.
5.
Solve each equation for x, 0 x 360.
(a) sin x cos x 5 0
(b) sin x (cos x 2 1) 5 0
(c) (sin x 1 1) cos x 5 0
w) 5 0
(d) cos x (2 sin x 2 3
(e) (2
w sin x 2 1)( 2w sin x 1 1) 5 0
(f ) (sin x 2 1)(cos x 1 1) 5 0
Solve each equation for x, 0 x 2p.
(a) (

Practise, Apply, Solve 1.11
A
1. Express each as a power of 3.
(a) 27
(b) 81
(c)
1
9
(d) 92x
(e)
1 x
1272
2. Determine which value of x is the solution to the equation.
1
(b) 4x 1 3 5 64
(a) 32x25 5 27
(c) 5x 1 2 5 25
(d) 25x 1 2 5 2w
3
i. x 5 1
i. x 5 1