lesson 8.3 exponential functions - lehi...
TRANSCRIPT
Lesson 8.3
Exponential FunctionsUNIT 1 WORKBOOK PAGE 10 – 24
UNIT 2 WORKBOOK PAGE 111 – 116
Remember exponential rules?
Product:
Quotient:
Exponent:
Exponent
of a Product:
Exponent of
a Quotient:
Rational
exponent:
Rational
exponent:
Those exponential rules will come in handy while we solve problems with exponents.
Example 5 (Unit 1WB, pg. 10)
Exponential Growth 𝐴 𝑡 = 𝑃 1 + 𝑟 𝑡
You will be using a form of this equation with most of your story problems.
𝐴(𝑡) represents
𝑃 represents
𝑟 represents
∗ 𝑡 represents
*if 𝑟 is an growth rate over a certain time period, 𝑡 will usually be a fraction over that time
period.
Problem-Based Task (Unit 1WB, pg. 11)
Example Warm-Up (Unit 1WB, pg. 17)
Remember solving rational exponents? (Unit 1WB, pg. 18)
When a variable is raised to a rational exponent, get the variable alone by
raising both sides to the reciprocal power.
Example: Solve for x.
𝑥23 = 9
Example 4 (Unit 1WB, pg. 20)
Example 3 (Unit 1WB, pg. 20)
Problem-Based Task (Unit 1WB, pg. 21)
Exponential Growth (Unit 2 WB, pg. 110)
𝐴 𝑡 = 𝑃 1 + 𝑟 𝑡
If 𝑟 is positive
If 𝑟 is negative
Example 1 (Unit 2 WB, pg. 111)
Example 2 (Unit 2 WB, pg. 112)
Example 3 (Unit 2 WB, pg. 112)
Assignment 8.3
WB Unit 1: Page 14 #8 – 10
Page 23 #7 – 10
WB Unit 2: Page 115 #1 – 10
RB: Page U1-17 #7 – 10
Page U2-161 #1 – 10