FOM12
7.2 Notes (contd): Applications of Exponential Functions
Exponential Growth
Ex1
200 bacteria double every minute
Ex2
A town of 18000 people is growing by 2% a year
Ex3
$5000 is invested at 3.5% per year
Exponential Decay
2
its previous height with e
FOM12
Ch1 Review A
Simple
I=Prt,
A = P (1 + r t)
Compound A = P (1 + r)n
1.
$600 is invested at 4.5% simple interest for 27 months. What is the final value?
2.
Sarah invested some money at 3% simple interest, with the interest paid annually.
When she cash
FOM12
8.2 Notes:
Exploring Graphs of Periodic Functions
Terms to know:
p.522
periodic function, midline, amplitude, period
Graphs of y sin x and y cos x
FOM12
8.3 Notes:
The Graphs of Sinusoidal Functions
Terms to know:
p.527
p.542
sinusoidal function
fre
FOM12
7.4 Notes:
Characteristics of Logarithmic Functions, base 10 and base e
Terms to Know:
p.474
logarithmic function
Form of the equation
What a logarithm means
Intercepts
Increasing vs. Decreasing
Domain and Range
End Behaviour
y a logb x
FOM12
8.1 No
FOM12
8.4 Notes:
The Equations of Sinusoidal Functions
Getting information from an equation
y a sin b( x c ) d
y a cos b( x c ) d
a amplitude
2
360
or
period
b
b
c horizontal shift
d midline
d a max
d a min
Writing the equation for a graph
FOM12
8.5 Note
FOM12
6.1 Notes:
Exploring the Graphs of Polynomial Functions
Terms to know:
p.380
p.381
end behaviour
cubic function, turning point
What is a polynomial function?
Table of info on p382
Ex1
y 3
Ex2
y
Ex3
y x 2 7x 5
Ex4
y x 3 4 x 2 2x 1
1
x 2
2
FOM12
6.2 N
FOM12
7.1/7.2 Notes:
Characteristics of Exponential Functions
Terms to Know:
p.436
exponential function
Form of the equation
Review of exponent rules
Intercepts
Increasing vs. Decreasing
Domain and Range
End Behaviour
y =a( b )x
Finding the equation from
FOM12
7.2 Worksheet:
1.
Applications of Exponential Functions
A house bought for $209,900 increases in value by an average of 9% a year.
a) write the exponential growth function for this situation
b) sketch a graph of the function using appropriate window
FOM12
6.4 Notes:
Modelling Data with a Curve of Best Fit
Terms to know:
p.414
curve of best fit
Limits of using polynomial regression
Finding a Quadratic or Cubic Regression on the Graphing Calculator