Math 101 Review Sheet Spring 20082009
Room
Sections
Matheson 109
011, 013, 016, 017
CAT 61
009, 010
Exam Coverage:
1.11.6
Date:
Friday, April, 24
th
88:50 am
Recap of section 1.1:
Interval Notation
Slope and equations of Lines:
Slope
Formula for slope:
2
1
2
1
y
y
m
x
x

=

1.
Slope of a horizontal line
is 0
2.
Slope of a vertical line is
undefined
Equations of Lines:
1.
Use slopeintercept form
(y = mx + b) if you are
given
The slope and the y
intercept
2.
Use pointslope form (
(
29
1
1
y
y
m x
x

=
) if you are given
 The slope (m) and any point on the line,
 You are given two points on the line only (find the slope first, using
2
1
2
1
y
y
m
x
x

=

, then pick a point and use
pointslope form)
3.
Equation of Horizontal line through the point (a, b):
y = b
4.
Equation of Vertical line through the point (a, b):
x = a
Inequality
Interval notation
Meaning
Graph
x
a
≥
[
29
,
a
∞
x is greater than or =
to a
x
a
(
29
,
a
∞
x is greater than a
x
a
≤
(
]
,
a

∞
x is less than or = to a
x
a
<
(
29
,
a

∞
x is less than a
Inequality
Interval notation
Meaning
Graph
a
x
b
≤
≤
[
]
,
a b
Include both a and b (closed
interval)
a
x
b
≤
<
[ , )
a b
Include a but not b
(half closed interval)
a
x
b
<
≤
( , ]
a b
Include b, but not a
(half closed interval)
a
x
b
<
<
( , )
a b
Neither a nor b is included
(open interval)
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View Full DocumentMath 101 Review Sheet Spring 20082009
Section 1.2
Properties of Exponents
(
29
(
29
0
1
1.
6.
1
1
2.
7.
3.
8.
4.
9.
m
n
m n
m
m n
n
n
n
n
m
m n
n
n
n
x
x
x
x
x
x
x
x
x
x
y
x
x
y
x
x
xy
x y
y
+



⋅
⋅
=
=
=
=
=
=
=
(
29
/
(m/n:
n is always the root; you can the n raise to the mth power under or outside the
)
5.
10.
n
n
n
n
n
n
m
n
m n
m
n
n
y
y
x
x
x
x
x
x
x
y
y

=
=
=
=
=
1.3 Functions:
Domain and Range:
x = input value = independent variable; domain describes allowable values for x;
f(x) = y = output value = dependent variable; range describes possible output for f(x)
Vertical Line Test:
The Vertical Line Test:
A curve in the Cartesian plane is the graph of a function if and only if, if no vertical line intersects the curve at more than one
point.
Types of Functions:
Linear Function:
A linear function is a function that can be expressed in the form f(x) = mx +b with constants m and b.
Its graph
is a line with slope m and yintercept b.
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 Spring '10
 RaymondJ.Favocci
 Math, Derivative, Quadratic equation, Natural logarithm, Logarithm

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