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