Lesson 9 - Exponential Functions (Formula) - Pg. 115: 1,2,3,10,12,15,20,31,18,39

Lesson 9 - 3.2#1 Explain difference between Linear and Exponential growth:

Linear growth occurs at a constant positive amount each period while exponential growth occurs at a constant percent increase each period.

Lesson 9 - 3.2#3 - Comparing Exponential and Linear Decreasing Functions:

(a) P = -100t + 5000, linear function since decreases at a constant amount of 100 each year from 5000.

(b) P = 5000(0.92)t , exponential since decreasing at a rate of 8% or r = 0.08 year from 5000.

Lesson 9 - 3.2#2 - Comparing Exponential and Linear Increasing Functions:

(a) P = 10t + 100, linear function since increasing at a constant amount of 10 each year from 100.

(b) P = 100(1.10)t, exponential function since increasing at a constant percent rate of 10% each year from 100.

(c) Graph of both functions

Lesson 9 - 3.2#10 - Determining whether a function is linear or exponential from table of values.

If linear constant amount change and if exponential constant ratio change .

f(x) increases at a constant amount, 0.87965 each change is x, so f(x) is linear.

g(x) change by a constant ratio each successive g(x), e.g. , so g(x) is exponential.

h(x) is neither linear nor exponential since above rule does not apply.

Lesson 9 - 3.2 #12 Find formula for exponential with points f(-2) = -12 and f(3) = -3/8.

Ans. :

Lesson 9 - 3.2 # 15 Find formula of exponential increasing graph with points:

(0, 1) and (2, 100)

Ans. :

Lesson 9 - 3.2 #20 Find exponential decreasing function from decreasing function graph with points (-1, 2.5) and (1, 1.6)

Ans.:

Lesson 9 - 3.2 #23 Find formula from a table of values:

Exponential Increasing Functions so:

Using points (6, 100)) and (9, 110)

Ans.:

Lesson 9 - 3.2 #24 Find formula from table of values:

Neither linear nor exponential (state why)

So no formula that we know of yet.

Lesson 9 - 3.2 #25 Find formulas from table of values:

Exponential decreasing function:

Using points (1, 512) and (2, 256)

Ans.: