Name_______________________________________ Date Watched___________________
Unit 5 PART 2 – Relations and Functions
Lesson 3 – Graphing Relationships using Input-Output Tables
Essential Questions:
1. Given an equation, how can I graph the relationship on a coordinate plane using an input-output
table?
Unit 2 Lesson 1 Review:


What are the parts of the coordinate plane?
How are ordered pairs graphed on the coordinate plane?
Unit 5 Part 1 Lesson 3 Review:

Tables are a way of organizing inputs and outputs (x, y) values into ____________________ and
rows.

They are equivalent in representing ____________________ __________________.
Ordered Pairs
Table
Input
Output
-3
6
-2
4
-1
2
0
0
1
-2
2
-4
3
-6
Today, we are going to learn to link these two together:

Another equivalent way to show the relationship is on a ____________________________.

A graph is a way of depicting many ____________________ (inputs and outputs) on a
____________________ ____________________.

There are many ways to graph an equation, but today, we will learn the most basic way:
o To use an _____________ - ________________ chart to graph the relationship.
How to Create a Graph from an Input-Output Chart:

1st – If necessary, ____________________ the input-output chart.

2nd – Write or imagine the ____________________ ____________________ depicted by the
input-output table.

3rd – ____________________ each ordered pair individually on the coordinate plane.

4th – If the relationship is ____________________, do not connect the points
If the relationship is ____________________, connect the points.
If the input-output chart or original equation is not depicting a real world situation, treat the
relationship as ____________________.
How to Create a Graph from an Input-Output Chart:
Ordered Pairs
Table
Graph
Input
Output
-3
6
-2
4
-1
2
0
0
1
-2
2
-4
3
-6
Real World Equations:

The number of campers a summer camp will allow to register is 4 times the number of
counselors available.

The equation y = 4x represents this situation
Input
Output
Ordered
Pairs (x,y)
1
2
3
4
5
6
Let’s Summarize:

Graphs, tables, and ordered pairs all show the same ___________________________________
in different, but equivalent ways.

A graph is a way of depicting many ________________________ (inputs and outputs) on a
coordinate plane.

One way to create a graph is to use an ______________________________________________
to graph the relationship.
Reflection Questions:
1. Do you understand that equations, ordered pairs, tables, and graph can all represent the same
graph in equivalent, but different ways?
yes
or
no
2. Can you use an input-output table to graph a relationship?
yes
or
no
3. Do you want to meet with Mrs. Daniel during study hall about this lesson? yes
or
no
U5P2L2 Practice Problems: Create an input output table for the equation below. Then, write the ordered
pairs depicted by the input-output table and graph the relationship.
Equation:
y=x–2
Input- Output Table:
x
-3
-2
-1
0
1
2
3
y
List of Ordered Pairs:
___________________________________________________________________________________
Graph: