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M111 Chapter 2
Sullivan and Struve
38
Mathematics
Undergraduate 1
06/12/2008

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Term
TERM
Definition
DEFINITION
Term
Ordered pair
Definition
(x, y)
Term
If a point is on the graph, when you plug in the values you get
Definition
an identity
Term
If a point is NOT on the graph, when you plug in the values you get
Definition
a contradiction
Term
The 3 ways to graph a line
Definition
intercept method, slope-intercept, table of values
Term
Table of values, pick numbers for the
Definition
complicated side
Term
Intercept method - pick
Definition
x = 0 and y = 0
Term
y = mx + b is called
Definition
the slope-intercept equation of a line
Term
y = mx + b, the m is
Definition
the slope of the line
Term
y = mx + b, the b is
Definition
the y-intercept
Term
y = mx + b, the first point you plot is
Definition
b which is the y-intercept
Term
If you have a negative fraction, I aways use the rule that negative signs
Definition
float
Term
Line goes down from left to right. The sign of the slope will be
Definition
negative
Term
Line goes up from left to right. The sign of the slope will be
Definition
positive
Term
The slope of a horizontal line is
Definition
zero
Term
The slope of a vertical line is
Definition
undefined
Term
x-intercept is where the graph
Definition
crosses the x-axis
Term
y-intercept is where the graph
Definition
crosses the y-axis
Term
To get from one point on the line to another point on the line, use the
Definition
slope
Term
If the slope is positive, to get to another point go
Definition
up and then over to the right
Term
If the slope is negative, to get to another point go
Definition
down and then over to the right
Term
domain of a function
Definition
the set of allowable values for the x-coordinate
Term
range of a function
Definition
the set of allowable values for the y-coordinate
Term
In a relation, same first elements map to different second element
Definition
NOT a function
Term
A graph is NOT a function if it fails the
Definition
vertical line test
Term
A graph fails the vertical line test if a vertical line can
Definition
cross it a 2 or more different points
Term
Most of the time, f(x) can be thought of as
Definition
y
Term
If you are asked to evaluate f(5) the your bird is
Definition
5
Term
What signs do the points in quadrant I have?
Definition
(+, +)
Term
What signs do the points in quadrant II have?
Definition
(-, +)
Term
What signs do the points in quadrant III have?
Definition
(-, -)
Term
What signs do the points in quadrant IV have?
Definition
(+, -)
Term
Where is the point (0, 3) located?
Definition
Up 3 on the y-axis
Term
The point where the 2 axes meet is called the
Definition
origin
Term
Where is the point (3, 0) located?
Definition
on the x-axis, 3 units to the right
Term
The graph of an equation is a geometric way of representing
Definition
all of the points that are solutions of the equation
Term
How many points are on a line?
Definition
infinitely many points are on a line
Term
The graph of a linear equation is the set of all ordered pairs (x, y) that
Definition
satisfy the equation
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