NAME:
Math-8 NOTES
DATE: ______/_______/_______
What: graphing linear equations
Why: To both solve AND graph linear equations and to analyze the difference
between discrete and continuous functions.
Review skills (solving linear equations):
x
y = 6x + 2
y
(x,y)
y = 4x + 1
x
-1
-2
0
0
2
4
1
2)
2
graphing linear equations:
1)
y= -2x + 1
x
y
-2
0
2
4
2)
y = 3x - 2
x
-1
0
1
2
y
y
y = -2x + 3
3)
y= -x + 1
x
y
-3
0
3
6
4)
x = 2y -1
x
y
discrete v. continuous functions:
When representing “real-life” situations as functions, there
are 2 types– discrete or continuous.
Simply put, a discrete function is one that, when graphed,
represents points that would _____________ be connected with a
line because it would make no sense to do so. Whereas a
continuous function represents points that _________________ be
connected with a straight line because the space between also has
meaning.
video:
Discrete v Continuous
discrete v. continuous function examples:
Read the following real-life situations and decide if the Domain is discrete
or continuous. Then, place a “check” under the appropriate column
Situation
1) Mark is working at the local fast food restaurant
and earns $7.15 per hour. The equation for this
relationship is:
y = 7.15x
where x represents the # of hours worked.
2)
A box of cracker jacks costs $0.99. The equation
for this relationship is:
y = 0.99x
where x represents the # of boxes bought.
3)
Your height is tracked every year on your
birthday and the results are graphed.
4)
Cricket Wireless charges $0.39 per minute for
roaming calls (y = 0.39x)
5)
Vermont Cheddar Cheese at the grocery store
deli is sold for $2.99 per lb. (y = 2.99x)
Discrete
Continuous
Math-8 PRACTICE
“ graphing linear equations”
1)
y= -x + 2
x
y
-3
0
3
6
2)
y = 2x - 2
x
y
-2
-1
0
1
3)
x = y + -3
x
y
-4
-2
0
2
4)
y = -x - 4
x
-1
-0
1
2
y
NAME:__________________________
DATE: ______/_______/_______
Math-8 PRACTICE
“discrete v. continuous
functions”
NAME:__________________________
DATE: ______/_______/_______