2-4 Graphing Day 2

1
2-4 Graphing Day 2

• Greatest Integer Function

2
The Greatest Integer Function y x

• If you know game show The Price Is Right then
  this function will be easy for you.

3
So, what will each point look like?

• Lets go to graphing calculator to figure it out.
• So instead of points you get steps.
• Now lets see what happens as you change the
  function looking at trends.

4
So, weve seen the following trends

• Add/Subtract inside?
• ? Move step
  left/right
• Add/Subtract outside?
• ? Move step up/down
• Multiply/Divide inside
• ? Change step length
• Multiply/Divide outside?
• ? Change distance
  between steps

5
But how do we graph?

• You could use the trends to graph. Or, use a
  mathematical method and then look at what you
  predict should happen to double check.
• The mathematical method will work as long as you
  follow directions!!
• Well do a problem on the board as we learn the
  method.

6
Method

1. Set the inside of the greatest integer between 0
   and 1, 1 and 2 and 2 and 3.
2. Determine what y would be based on the greatest
   integer value of all those numbers in that
   particular domain.
3. Solve for x to figure out the adjusted domain.
4. Lay a step on the x axis (part 3) then move it up
   on the y axis.

7
Lets try another one

• Graph