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