Bruce Mayer, PE
Licensed Electrical & Mechanical Engineer
BMayer@ChabotCollege.edu
Mathematics 55 – Interediate Algebra
1
Bruce Mayer, PE
M55_MTE!_Lec-Notes.ppt

Making Good Plots





 



2
1.
Arrows in POSITIVE Direction Only
2.
Label x & y axes on POSITIVE ends
3.
Mark and label at least one unit on each axis
4.
Use a ruler for Axes & Straight-Lines
5.
Label significant points or quantities
Mathematics 55 – Interediate Algebra Bruce Mayer, PE
M55_MTE!_Lec-Notes.ppt

Example

Graph AbsVal
 Observation about: g
 x

2 h
 
 x

2
 Neither of these Functions can EVER be NEGATIVE
 Therefore their graphs will
NEVER Extend into the
BOTTOM half of the XY plane
 Can NOT simply IGNORE the
AbsVal Bars to Plot Lines: g
 x

2 h
 
 x

2
Mathematics 55 – Interediate Algebra
3
Bruce Mayer, PE
M55_MTE!_Lec-Notes.ppt

Example

Graph AbsVal
 Need to Graph g
 x

2 h
 
 x

2
 When in
Doubt:
T-Table
x y = g (x ) = |x +2|
4
5
2
3
6
-2
-1
0
1
-6
-5
-4
-3
6
7
4
5
8
2
3
0
1
2
1
4
3
x y = h (x ) = |x |+2
4
5
2
3
6
-2
-1
0
1
-6
-5
-4
-3
6
7
4
5
8
2
3
4
3
6
5
8
7
4
 Then PLOT (x, y) Points and
Connect the Dots to
Construct the Graphs
• Plot on Bd using PPT Grid
Mathematics 55 – Interediate Algebra Bruce Mayer, PE
M55_MTE!_Lec-Notes.ppt