1. representing Linear functions
Today’s Lesson:
What:
representing Linear functions
Why:
so I can make connections among the four ways to represent a function.
Input
Output

2. How are all 4 representations related?

3. Do you remember the 4 ways to represent a function??:1
As an
____________
y = 2x + 3
Equation
“y is equal to ” 2
With
words
two times a number
plus three. x y 1 2 3 3
As a
__________ 3
Table
Now, plot the
points! 5 7 9 4
As a graph

4. “y is equal to the product of two and a number,
let’s tie it all together . . .
y = mx + b
From an equation . . .
Equation
Words
1) y = 2x -1
Table
Graph
“y is equal to the product of two and a number,
minus one.”
m = 𝟐 𝟏
b = -1 x y -1 1 1 2 3 3 5

5. “y is equal to three more than a number.”
y = mx + b
From words . . .
Equation
Words 2)
“y is equal to three more than a number.”
Table
Graph
y = x + 3
You could use y= mx + b to graph OR you could create the table by choosing inputs and plugging in . . . x y 3 1 4 2
Now, plot the
points! 5 3 6

6. “y is equal to negative 2 times a number,
From a table . . .
Equation
Words 3)
Table
Graph
y = -2x + 6
“y is equal to negative 2 times a number,
plus six.”
Magic
Number . . . x y 6 1 4 2 3

7. more than negative 2 times a number.”
y = mx + b
From a graph . . .
Equation
Words 4)
Table
Graph
y = -2x + 4
“y is equal to four
more than negative 2 times a number.”
m = −𝟐 𝟏
b = 4 x y 4 1 2 2 3 -2

8. Wrap-it-up/summary: 1) How are all 4 representations related?
All 4 representations are related because they represent different ways to express the SAME relationship. They all represent the SAME function!

9. END OF LESSON