This document provides an overview of several topics related to relations and functions: - It defines relations, domains, and ranges using examples. - It identifies which examples represent functions and which do not using the vertical line test. - It outlines tasks to be completed on days 59 and 60, including expressing a relation as a mapping and determining if it is a function, as well as an assignment on relations and functions.

1. Day
56
1.
Teacher
Inservice

2. Day
57
1.
Graph
the
following
compound
inequality:
−5 < x + 2 ≤ 4

3. No
Bones
About
It

4. No
Bones
About
It

5. No
Bones
About
It
Forensic
scien>sts
(anthropologists)
study
the
human
skeleton
to
answer
various
ques>ons
about
an
individual’s
race,
sex,
age,
height,
illness,
and
trauma.

6. No
Bones
About
It
Predict
a
person’s
height
using
various
bone
length
measurements
and
linear
equa>ons.

7. Radius

8. Radius

9. Radius

10. Humerus

11. Tibia

12. Tibia

13. Which
bone
is
the
best
predictor
of
your
height?
71
70
69
68
67
66
65
64
63
62
Height
Radius
Humerus
Tibia

14. Day
58
1.
Graph
the
following
compound
inequality:
− 25 ≤ 5 x ≤ 45

15. RelaCons
and
FuncCons

16. DefiniCons
RelaCon
à
A set of ordered pairs.
Domain
à
The set of all inputs (x-values)
of a relation.
Range
à
The set of all outputs (y-values)
of a relation.

17. Example
1
RelaCon
à
{ (-4, 3), (-1, 7), (0, 3), (2, 5)}
Domain
à
{ -4, -1, 0, 2 }
Range
à
{ 3, 7, 5 }

18. Example
2
RelaCon
à
{ (-2, 2), (5, 17), (3, 3), (5, 1), (1, 1), (7, 2) }
Domain
à
{ -2, 5, 3, 1, 7 }
Range
à
{ 2, 17, 3, 1 }

19. Example
3
1 0
5 2
7
11
-1
Relation à {(1, 0), (5, 2), (7, 2), (-1, 11)}
Domain à {1, 5, 7, -1}
Range à {0, 2, 11}

20. DefiniCon
FuncCon
à
A relation in which each
element of the domain ( x value) is
paired with exactly one element of the
range (y value).

21. Are
these
funcCons?
{ (0, 2), (1, 0), (2, 6), (8, 12) }
{ (0, 2), (1, 0), (2, 6), (8, 12), (9, 6) }
{ (3, 2), (1, 0), (2, 6), (8, 12), (3, 5), }
{ (3, 2), (1, 2), (2, 2), (8, 2), (7, 2) }
{ (1, 1), (1, 2), (1, 5), (1, -3), (1, -5) }

22. VerCcal
Line
Test

23. VerCcal
Line
Test

24. Day
59
1.
Express
the
rela>on
as
a
mapping.
Is
the
rela>on
a
func>on?
{(3,−9), (4,6), (− 2,4), (0,5), (1,5), (4,1)}

25. Day
60
1.
Rela>on
&
Func>on
Worksheet
2.
AM
Objec>ves
12-­‐14