Graphs of Functions and Relations

							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              II. x – 1 < 0          III. x2 < x

   a.   I only
   b.   II only
   c.   I and II only
   d.   II and III only
   e.   I, II, and III
                 POD—SAT Prep
SAT #1. Send responses via Navigator.

If 0 < x < 1, then which of the following must be true?

   I. 2x < 2              II. x – 1 < 0          III. x2 < x

   a.   I only
   b.   II only
   c.   I and II only
   d.   II and III only
   e.   I, II, and III
               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.   450
   b.   449
   c.   448
   d.   43
   e.   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.   450
   b.   449
   c.   448
   d.   43
   e.   8
            POD—SAT Prep
SAT #3. Send responses via Navigator.
If a -3 = 7, then 2a -14 =

  a.   -6
  b.   -4
  c.   2
  d.   4
  e.   6
            POD—SAT Prep
SAT #3. Send responses via Navigator.
If a -3 = 7, then 2a -14 =

  a.   -6
  b.   -4
  c.   2
  d.   4
  e.   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               y 2  4x
     2x  3y  12         x  7
     y x x              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   and
   range 1  y  3

   Who’s fastest? Who’s most accurate?
   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.)