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
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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.: |