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Comparing Functions

Comparing Functions. 8.M.F.02 I can compare two functions represented in different ways. Linear Function Vocabulary. Linear Function Slope Intercept Form Slope (Rate of Change) Y-Intercept (Initial Value) Inputs and Outputs. A Variety of Functions.

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Comparing Functions

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

  2. Linear Function Vocabulary • Linear Function • 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. Which function has the greatest slope? y = 3x + 4 -2x + y = 7 **Remember: Both equations must be in slope intercept form to compare! Comparing Slopes

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

  7. Which function has the smallest slope? Comparing Slopes

  8. 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 Practice Source: www.learnzillion.com; Lesson LZ1192

  9. 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 Practice Source: www.learnzillion.com; Lesson LZ1192

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

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

  12. Which function has the greatest y-intercept? Comparing Y-Intercepts

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

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

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