Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
110
© 2014 Pacific Crest
P
lan
How to complete the activity
1. Load graphing software or access a graphing website such as those available on the companion
website.
2. Run through the models in this activity with the software.
3. Answer the Critical Thinking Questions.
4. Complete the remainder of this activity (from Demonstrate Your Understanding through Assessing
Your Performance) on your own, or as directed by your instructor.
M
odel(s)
Exemplars and representations
M
odel
1: S
ample
F
amily of
F
unctions
C
ard
Linear
f(x) = mx + b
-10
10
y
1
1
6
-6
x
f(x) =
2
x
+ 3
-10
10
y
1
1
6
-6
x
f(x)
= –
x
+ 3 1
2
Linear
f(x) = mx + b
S
implest
F
orm
y = x
D
omain
All real numbers
R
ange
All real numbers except when
m = 0
and
f(x) = b
(then the range is
b
).
C
haracteristic
1
(0, b)
is the
y
-intercept
C
haracteristic
2
m
is the slope
A
ppearance
A straight line that is increasing, decreasing, or
constant depending on whether m is positive,
negative or zero, respectively.
I
nteresting
F
eatures
These functions have a constant rate of change
and the algebraic definition of these functions can
be determined from two ordered pairs.
R
eal
-W
orld
A
pplication
The manufacturing cost of a cell phone is a linear
function of the number of cell phones produced.