Foundations of Math 11

Chapter 7 – Exponential/Log Functions Notes Booklet

Homework Assignments(Nelson Foundations of Mathematics 12)

Chapter 7 Exponential & Logarithmic FunctionsSection Topic Assignment

7.1 Characteristics of Exponential Fns P439: 1-37.2 Characteristics of Exponential Fns pt2 P448: 1-3, 5, 7, 8, 9, 11-13, 18 7.2 worksheet7.3 Modelling Data Using Exponential Fns P461: 2, 3, 4, 5, 8, 10, 12, 16

Review P470-4737.4 Characteristics of Log Fns (base 10, e) P482: 1-3, 5, 6, 8, 157.5 Modelling Data Using Logarithmic Fns P494: 1-7, 9

Review P501-506

FOM127.1/7.2 Notes: Characteristics of Exponential Functions

Terms to Know:

p.436 exponential function

Form of the equation

Review of exponent rules

Intercepts

Increasing vs. Decreasing

Domain and Range

End Behaviour

Finding the equation from a table

x 0 1 2 3 4 5

y 8 12 18 27 40.5 60.25

“e”

x 0 1 2 3 4

y 1250 1000 800 640 512

FOM127.2 Notes (cont’d): Applications of Exponential Functions

Exponential Growth

Ex1 200 bacteria double every minute

Ex2 A town of 18000 people is growing by 2% a year

Ex3 $5000 is invested at 3.5% per year

Exponential Decay

Ex4 A ball dropped from 2m rebounds to its previous height with each bounce.

Ex5 A town of 18000 people is shrinking by 1.5% a year

Ex6 A car worth $5000 depreciates by 20% every year

FOM127.3 Notes: Modelling Data Using Exponential Functions

Terms to Know:

p.456 exponential growth functionp.458 exponential decay function

Exponential Regression

The value of a $100 share in a company is tracked for 5 years. Use exponential regression to find a function that approximates the value of the share growing over time.

Time (yrs) 0 1 2 3 4 5

Value($) 100.00 104.50 106.00 111.50 113.00 120.00

FOM127.4 Notes: Characteristics of Logarithmic Functions, base 10 and base e

Terms to Know:

p.474 logarithmic function

Form of the equation

What a logarithm means

Intercepts

Increasing vs. Decreasing

Domain and Range

End Behaviour

FOM127.5 Notes: Modelling Data Using Logarithmic Functions

HW p494

1. a) Intercepts:

End Behaviour:

D/R:

Incr/Decr?:

b)

c)

2. a a) Intercepts:

Equation:

Intercepts:

End Behaviour:

D/R:

Incr/Decr?:Graph:

X Y X Y X Y

5 165 18 305 11 255

12 265 25 340 10 243

16 295 15 285 5 170

3 112 17 300 3 115

17 300 5 165 18 310

12 263 22 330 21 325