Graphs of Functions Today we will learn how to ... plot ordered pairs from a function table and draw the corresponding line...
Lets 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-ShirtsY = 2x ofNumber Number of T-Packages (x)1 Shirts (y) 22 43 6
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) ??
Write the function table as ordered pairsPackages of T-ShirtsY = 2xNumber of Packages (x) Number of T-Shirts (y)1 22 43 6 Example: (1, 2)
Lets draw the prefect gridNumber of T-shirts Number of packages
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 table2. Number x-axis 0-5: y-axis 0-173. Draw the perfect grid3. plot the ordered pairs on the coordinate grid4. connect the pointsWork in pairs, 10 minutes
What happens... When I extend the line. What does the graph tell me? How about: This functiony=2X=6
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 minutesAfter this, we will talk about the assignment for about 5 minutes ChimeBe prepared to explain your thinking •Voices silent •Pencil down •Eyes on listener
Vocabulary ReviewWhat is the x-axis?What is the y-axis?What is the Origin?What is an ordered pair?What do ordered pairs need?
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
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
15-20 min. You tryUse your notebook (graph paper on counter) and work with your partner Make sure you glue the graph paper in your notebook before you leaveDraw 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