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

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Presentation on theme: "8.M.F.02 I can compare two functions represented in different ways."— Presentation transcript:

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)


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