Transcript Alg II (2.4) Functions and Relations 9

Graphs of Functions and
Relations (2.4)
Relation vs. function
Domains and ranges
Final section in the chapter!
POD—SAT Prep
SAT #1. Send responses via Navigator.
If 0 < x < 1, then which of the following must be true?
I. 2x < 2
a.
b.
c.
d.
e.
I only
II only
I and II only
II and III only
I, II, and III
II. x – 1 < 0
III. x2 < x
POD—SAT Prep
SAT #1. Send responses via Navigator.
If 0 < x < 1, then which of the following must be true?
I. 2x < 2
a.
b.
c.
d.
e.
I only
II only
I and II only
II and III only
I, II, and III
II. x – 1 < 0
III. x2 < x
POD—SAT Prep
SAT #2. Send responses via Navigator.
Given 4 percent of (2a + b) is 18, and a is a positive integer,
what is the greatest possible value of b.
a.
b.
c.
d.
e.
450
449
448
43
8
POD—SAT Prep
SAT #2. Send responses via Navigator.
Given 4 percent of (2a + b) is 18, and a is a positive integer,
what is the greatest possible value of b.
a.
b.
c.
d.
e.
450
449
448
43
8
POD—SAT Prep
SAT #3. Send responses via Navigator.
If a -3 = 7, then 2a -14 =
a.
b.
c.
d.
e.
-6
-4
2
4
6
POD—SAT Prep
SAT #3. Send responses via Navigator.
If a -3 = 7, then 2a -14 =
a.
b.
c.
d.
e.
-6
-4
2
4
6
Two key concepts today
1. Does the graph of an equation
pass the VLT?
2. What are the possible values for x
and y in the graph?
Graph y = x2 - 3
What is the name of this type of
curve?
Is it a function?
What is its domain and range?
Graph x = y2 - 3
Draft a table using x = -2, 1, 6, and
13.
What does it look like?
It’s a relation-- is it also a function?
Which of these is a function?
What do the graphs look like?
y x
x y
Which of these are functions?
They are all relations, but two are not functions.
Divide into five teams and see what you come up
with. The winning team(s) get(s) the Crown o’
Knowledge.
y x3
2x  3y  12
y x x
y2  4 x
x  7
y  7
Domain and range
In your same teams, sketch a graph for each of
the following, and put them on the board.
A function with domain 2  x  4 and range 1  y  3
A function with domain of all real numbers and range of
negative numbers
A relation, not a function, with domain 2  x  4
range 1  y  3
Who’s fastest? Who’s most accurate?
and
Double absolute value
What does the graph look like?
y  x
(Take a Chance for the person willing to
put this one on the board.)