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Test 1 Material
This sheet is fairly exhaustive of the course material but does not include all formulas.
You will be allowed one sheet, front and back, for the final with anything you would like
to put on it. Anything from this is allowed to be on the sheet, but the sheet
MUST
be
handwritten and
CANNOT
be a photocopy.
Section 1.1: Functions and Change
(This will not be major on the test. All other concepts stem from this so do not focus
much time studying on this but make sure you are comfortable with it.)
What is a Function?
Representations of Functions
o
Word description
o
Table in graph form
o
Formulas
o
Graphs
o
Tables
Vertical/ Horizontal Intercepts
o
Importance
Vertical Intercept is f(0)
Horizontal Intercept is f=0
Section 1.2: Linear Functions
Slope Intercept Form
o
y=mx+b
m>0 line is increasing
m<0 line is decreasing
m=0 line has no slope
Point Slope Form
o
yy
1
=m(xx
1
)
o
m=
0
1
0
1
x
x
y
y


Graphing a Line
o
Find the slope then plug into slope intercept and solve for b
Section 1.4: Applications in Economics
Cost Function
o
C(q)= Total cost of producing qamount of items
= Fixed costs+ Variable Costs
= b+mx
Revenue Function
o
R(q)= Total money received from sale of qamount of items
= Price * q
Profit Function
o
π
(q)= Net money earned
= R(q) C(q)
Break Even Point
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R(q)= C(q)
Depreciation Function
Supply and Demand Curve
Section 1.5: Exponential Function
Change by percentage, not by amount like a linear function
Population Function
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 Fall '08
 KUSTIN
 Formulas

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