1 / 17

12-6

Nonlinear Functions. 12-6. Course 2. Warm Up. Problem of the Day. Lesson Presentation. Nonlinear Functions. 12-6. 1 7. ; –1. 2 3. – ; 5. Course 2. Warm Up Tell the slope and y- intercept of each line, given the equation. 1. y = –8 x + 7 2. y = x – 1 3. y = 9 x

bert
Download Presentation

12-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nonlinear Functions 12-6 Course 2 Warm Up Problem of the Day Lesson Presentation

  2. Nonlinear Functions 12-6 1 7 ; –1 2 3 – ; 5 Course 2 Warm Up Tell the slope and y-intercept of each line, given the equation. 1.y = –8x + 7 2.y = x – 1 3.y = 9x 4.y = – x + 5 –8; 7 1 7 9; 0 2 3

  3. Nonlinear Functions 12-6 Course 2 Problem of the Day Name a value of x for which y = 5x is less than y = x2, for which y = 5x equals y = x2, and for which y = 5x is greater than y = x2. any x less than 0 and greater than 5; x = 0 or 5; any x between 0 and 5

  4. Nonlinear Functions 12-6 Course 2 Learn to identify nonlinear functions.

  5. Nonlinear Functions 12-6 Course 2 Insert Lesson Title Here Vocabulary nonlinear function

  6. Nonlinear Functions 12-6 Course 2 As you inflate a balloon, its volume increases. The table below shows the increase in volume of a round balloon as its radius changes. Do you think a graph of the data would or would not be a straight line? You can make a graph to find out. A nonlinear functionis a function whose graph is not a straight line.

  7. Nonlinear Functions 12-6 Course 2 Additional Example 1A & 1B: Identifying Graphs of Nonlinear Functions Tell whether the graph is linear or nonlinear. B. A. The graph is not a straight line, so it is nonlinear. The graph is a straight line, so it is linear.

  8. Nonlinear Functions 12-6 Course 2 Additional Example 1C & 1D: Identifying Graphs of Nonlinear Functions Tell whether the graph is linear or nonlinear. D. C. The graph is a straight line, so it is linear. The graph is not a straight line so, it is nonlinear.

  9. Nonlinear Functions 12-6 4 x 4 –4 0 –4 Course 2 Try This: Example 1A & 1B Tell whether the graph is linear or nonlinear. y A. B. y 4 x 4 –4 0 –4 The graph is a straight line, so the graph is linear. The graph is not a straight line, so it is nonlinear.

  10. Nonlinear Functions 12-6 Course 2 Try This: Example 1C & 1D Tell whether the graph is linear or nonlinear. y C. D. y 4 4 x x 4 4 –4 –4 0 0 –4 –4 The graph is a straight line, so the graph is linear. The graph is not a straight line, so it is nonlinear.

  11. Nonlinear Functions 12-6 Course 2 You can use a function table to determine whether ordered pairs describe a linear or nonlinear relationship. For a function that has a linear relationship, when the difference between each successive input value is constant, the difference between each corresponding output value is constant. For a function that has a nonlinear relationship, when the difference between each successive input value is constant, the difference between each corresponding output value varies.

  12. Nonlinear Functions 12-6 Course 2 Additional Example 2A: Identifying Nonlinear Relationships in Function Tables Tell whether the function in the table has a linear or nonlinear relationship. A. difference = 1 difference = 3 difference = 1 difference = 6 The difference between consecutive input values is constant. The difference between consecutive output values is not constant. The function represented in the table is nonlinear.

  13. Nonlinear Functions 12-6 Course 2 Additional Example 2B: Identifying Nonlinear Relationships in Function Tables Tell whether the function in the table has a linear or nonlinear relationship. A. difference = 1 difference = 3 difference = 1 difference = 3 The difference between consecutive input values is constant. The difference between consecutive output values is constant. The function represented in the table is linear.

  14. Nonlinear Functions 12-6 Course 2 Try This: Example 2A Tell whether the function in the table has a linear or nonlinear relationship. A. difference = 1 difference = 3 difference = 1 difference = 5 The difference between consecutive input values is constant. The difference between consecutive output values is not constant. The function represented in the table is nonlinear.

  15. Nonlinear Functions 12-6 Course 2 Try This: Example 2B Tell whether the function in the table has a linear or nonlinear relationship. A. difference = 1 difference = 2 difference = 1 difference = 2 The difference between consecutive input values is constant. The difference between consecutive output values is constant. The function represented in the table is linear.

  16. Nonlinear Functions 12-6 Course 2 Insert Lesson Title Here Lesson Quiz: Part 1 1. Tell whether the graph is linear or nonlinear. nonlinear

  17. Nonlinear Functions 12-6 Course 2 Insert Lesson Title Here Lesson Quiz: Part 2 2. Tell whether the function in the table could be linear or is nonlinear. could be linear

More Related