Bell Work
1. What is a rectangular coordinate system?
Make one and label everything you can think of
2. Plot (0,0) (3,2) (-2,0) (0,-5) (-2,-1) on the
rectangular coordinate system
3. What are the different methods you can use
to graph an equation??
Section 1.1
Graphs and Graphing Utilities
Plot points on the rectangular coordinate system. Plot the
x coordinate first then the y coordinate. This is an ordered
pair of real numbers. (x,y)
Plot the following points:
Example
(-4,3), (-1,-1), (0,3), (2,-4), (3,0)
y




x













Graphs of Equations
Can you think of different functions??
y
y








x








x














y
y








x








x






















Intercepts
The x and y intercepts can be seen on a graph, or
by looking at the ordered pair
y




x













For the x intercept, the y-coordinate is 0.
(
For the y intercept, the x-coordinate is 0.
( 0,
,0)
)
y
y  x 4
2


x

y
0

x









0




What are the x and
y intercepts?
Find the x and y intercepts
and graph the equation after
plotting a few more points.
Example
y  x2
y




x













Graphing Equation using a T-table !
The graph of an equation in two variables is the
set of all points whose coordinates satisfy the
equation.
y
y  x 3
2




x













x
-2
-1
0
1
2
y
1
-2
-3
-2
1
Example
Graph the following equation and construct a
table: y  x  2
y
x




x













y
Graph the following equation
by letting x=-2,-1,0,1,2.
1
y   x 1
2
x y
-2
-1
0
1
2
y
y


(a)
(b)






x
x

























(c)

(d)
y

y







x








x


















YOU TRY!!!
Graph the following equation using a t-table Then
find the x and y intercepts for the equation
y  x  9
2
y




x












