1. 8.M.F.02 I can compare two functions represented in different ways.
Comparing Functions
8.M.F.02 I can compare two functions represented in different ways.

2. Linear Function Vocabulary
Slope Intercept Form
Slope (Rate of Change)
Y-Intercept (Initial Value)
Inputs and Outputs

3. A Variety of Functions...
Functions can be expressed in any of the following forms:
Table
Equation
Graph
Contextual Situation

4. Comparing Functions...The Basics
Slope (Rate of Change)
Y-Intercept (Initial Value, Starting Point)
Knowing what slope and y-intercept are, and how to identify them, will help you compare any two functions.

5. Comparing Slopes Which function has the greatest slope?
y = 3x x + y = 7
**Remember: Both equations must be in slope intercept form to compare!

6. Comparing Slopes
Which function has the greatest slope?
y = -3x - 6

7. Comparing Slopes
Which function has the smallest slope?

8. Source: www.learnzillion.com; Lesson LZ1192
Practice
Which statement below best describes the slopes of the two functions shown?
Function 2:
Function 1:
y = 1.5x
a) Slope 1 > Slope 2
b) Slope 2 > Slope 1
c) Slope 1 = Slope 2
Source: Lesson LZ1192

9. Source: www.learnzillion.com; Lesson LZ1192
Practice
Which function below shows the smallest rate of change?
Function 1:
y = 5x
Function 2:
a) Function 1
b) Function 2
c) Function 1 = Function 2
Source: Lesson LZ1192

10. Comparing Y-Intercepts
Which function has the greatest y-intercept?
y = 3x x + 2y = 8
**Remember: Both equations must be in slope intercept form to compare!

11. Comparing Y-Intercepts
Which function has the greatest y-intercept?
y = 3x + 4

12. Comparing Y-Intercepts
Which function has the greatest y-intercept?
Input (x)
Output (y) -1 7 5 1 3 2

13. Practice a) Y-Int 1 > Y-Int 2 b) Y-Int 2 > Y-Int 1
Which statement below best describes the y-intercepts of the two functions shown?
Function 1:
y = -x - 7
Function 2:
a) Y-Int 1 > Y-Int 2
b) Y-Int 2 > Y-Int 1
c) Y-Int 1 = Y-Int 2

14. Which function below shows the greatest y-intercept?
Practice
Which function below shows the greatest y-intercept?
Function 1:
Function 2:
a) Function 1
b) Function 2
c) Function 1 = Function 2

15. Which of the following represent the same function?
Closure
Which of the following represent the same function? a) c)
y = 2x + 1 b) a)