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.
How:
by taking accurate notes, participating in ALL practice
activities, and completing my homework.
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 . . .
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.”
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.”
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. Finish worksheet (front and back).
homework
Finish worksheet (front and back).

10. END OF LESSON