Ms. Alleva
Linear
Equations
Best Fit Line
Piecewise
Functions
Absolute Value
Functions
Linear
Inequalities
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
(-3,k) and (k,5)
k =1
100
2
y = x-2
3
(3,0)
200
(-2,3)
-2x + y =1
1
y =- x +2
2
300
1
1
- x=y+
3
2
2x + 6y = -3
400
y=5
500
y = 222t + 4146
Models the number of FM radio
stations (y) since 1989 where t is the
number of years since 1989. In what
year will there be about 8830 radio
stations based on the model?
2010
100
Use your graphing calculator
to determine the equation for
the best fit line for the data.
x 14 11 21 3
y 4
6
1
4 19 10 1
10 9 0
5
17 6
10 2
7
y = -.509x +10.8
200
The best fit line
h = -2.12t +15.5
models the age t (in years) and the
number h hours slept per day by
babies. Use the equation to predict
the number of hours slept by a 6
month old.
about
300
14.4
The table shows the number p (in
thousands of patents) issued to U.S.
residents where t is the number of
years since 1985. Find AND
INTERPRET the slope of the best fit
line.
t 0
p
1 2 3 4 5
43.3 42
47.7 44.
6
6 7
54.6 52.8 57.7 58.7
8
9 10
61.1 64.
2
64.4
For every one year since
1985, the number of patents
increased by 2420 (2.42
thousand)
400
The table below gives the enrollment
for the City Year national youth
service program from 1989 to 1998.
Use the best fit line to predict how
many people will enroll in City Year in
2010
Years since
1989
0 1 2 3 4
5
Enrollment
57 76 107
688 678
234 371
6
7
8 9
716
894 918
about 2290
500
ì-1, if
f (x) = í
1,
if
î
100
x<0
x>0
ì3
x
+
3,
if
x
<
0
ï4
f (x) = í
1
ï x - 2, if x ³ 0
î2
200
ì-2, if 0 £ x < 2
ï
f (x) = í-4, if 2 £ x < 4
ï-6, if 4 £ x < 6
î
300
if x £ 3
ì- x,
ï
f (x) = í 2
x
4,
if
x
>
3
ïî 3
400
ì2x, if x < -2
ï
f (x) = í x, if
-2< x <2
ï3x, if
x>2
î
500
1
y = x +2
2
100
1
y= x-4
2
200
Write the equation of the absolute
value function
y=4x -3
300
y = 2 x +1 - 4
400
1
y =- x +2 +3
3
500
3x -10y < -8
YES
100
2x - 4y > 8
200
1
y ³ -2
3
300
1
y ³ x +5
2
400
1
y> x
2
500