Outline 3.1 & 3.2

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CAS Elementary Functions

Name:

Unit 3 – Exponential and Logarithmic Functions

Date:

CAS Elementary Functions

Exponential Functions

OUTLINE (3.1 and 3.2) Part 1

Pages 276 – 280

What is the basic form of an exponential function (define all constants including any restrictions on those constants)?

What is the significant difference between a power function and an exponential function?

[Page 277 – Example 1 (a) (b)]

Summarize Example 2, the table and the explanation at the bottom of page 277 relating to raising a number to an irrational exponent (what does 2

mean?):

CAS Elementary Functions Unit 3 – Exponential and Logarithmic Functions

What pattern of change is demonstrated in the values of any exponential function? (Example 3 on page 278)

Exponential Growth:

Exponential Decay:

Complete Exploration 1 on page 279 here. Include sketches of all graphs you create on your graphing calculator.

CAS Elementary Functions Unit 3 – Exponential and Logarithmic Functions

Summarize the properties of the basic function f(x) = b x (top of page 280) :

Page 290

Summarize the information given on page 290 regarding real world models which increase or decrease at a constant percentage rate:

Assignment:

3.1 – Pages 286 and 287: 1 – 13, 15 – 19, 25 – 30, 45, 46, 51 – 54

3.2 – Pages 296 and 297: 3 – 21 m. of 3, 4 and 5, 30 – 33, 43, 44

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