Texas Instruments TI-83-Plus - Teacher Notes

Chapter 3: Linear Functions Section 4: Slope-Intercept Form
Topics in Algebra 1 © 2001 Texas Instruments Teacher Notes 3-37
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73
(continued)
Parent and Family of Functions
11. Students cannot see all functions when they don’t change their window values, which are:
Xmin=
M
4.7
,
Xmax=4.7
,
Xmin=
M
3.1
,
Xmax=3.1
. To fit all functions on the screen,
Xmin>8
and
Xmax>8
. Functions in order from top to bottom:
Y=X+8
,
Y=X+3
,
Y=X
N
3
,
Y=X
N
8
.
12. In order from top to bottom:
Y=3X
,
Y=2X
,
Y=X
(
ZFit
window values). Graph of
Y=2X+3
(
ZStandard
window values). To graph the function
Y=2X+3
, students should think that the
graph is parallel to
Y=2X
, and then shift
Y=2X
up 3 units on the Y-axis.