7. Graphs of Functions
Today we will learn how to ...
plot ordered pairs from a function table and
draw the corresponding line...
8. Let's look at this real-lilfe
problem
Anan is buying T-shirts for Spirit Day. Each
package of t-shirts has two shirts in it. He
wants to know how many t-shirts are in 5
packages.
Packages of T-Shirts
Y = 2x of
Number Number of T-
Packages (x)
1 Shirts (y)
2
2 4
3 6
9. Our table also follows an order
Packages of T-Shirts
Y = 2x
Number of Packages (x) Number of T-Shirts (y)
1 2
2 4
3 6
Remember: (x,y) ??
10. Write the function table as
ordered pairs
Packages of T-Shirts
Y = 2x
Number of Packages (x) Number of T-Shirts (y)
1 2
2 4
3 6
Example: (1, 2)
11. Let's draw the prefect grid
Number of T-shirts
Number of packages
12. You try
Samuel wants to celebrate his birthday. He
wants top hang up 12 balloons. Party
Warehouse has packages with 4 balloons
each. How many packages does he need?
1. Create a function table
2. Number x-axis 0-5: y-axis 0-17
3. Draw the perfect grid
3. plot the ordered pairs on the coordinate
grid
4. connect the points
Work in pairs, 10 minutes
13. What happens...
When I extend the line. What does the
graph tell me?
How about: This function
y=2
X=6
14. Warm-up
• Take out your Math booklet, ruler, pencil, notebook (and graph
paper – if you have nto used it yet)
• Work with your partner to finish yesterdays asssignment
• You are finished? Take a graphiti and work on it (it goes in the
Math part of your binder)
You have 10 minutes
After this, we will talk about the assignment for about 5
minutes
Chime
Be prepared to explain your thinking •Voices silent
•Pencil down
•Eyes on listener
15. Vocabulary Review
What is the x-axis?
What is the y-axis?
What is the Origin?
What is an ordered pair?
What do ordered pairs need?
16. We will learn how to graph
equations...
An equation is a rule for a function
You can use equations to make a function table
Rule: y = 2x + 1
x y When x = 1
1 Y=2*1+1
2 Y+2+1=3
3
Use the function table to write ordered pairs
Use # 5 of your whiteboard – do not erase
17. We will learn how to graph
equations...
Place the ordered pairs on a coordinate grid
y
10
8
6
4
2
2 4
Draw a line through the points x
What can you predict for x = 4
18. 15-20 min.
You try
Use your notebook (graph paper on counter) and
work with your partner
Make sure you glue the graph paper in your
notebook before you leave
Draw a function table (When x=1, y=…), then
graph your equation
Y = 2x -1
Y = 6x – 2
Challenge: y = 3
Super challenge: y = 2x and Z = y+5 / draw
both function tables, then graph both equations