Exploring Patterns and Nonlinear Functions

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Discover the concept of nonlinear functions through classifying functions as linear or nonlinear based on different scenarios and graphs, and determine linearity with given data points. Gain insights into how functions behave and understand their graphical representations.

  • Patterns
  • Functions
  • Nonlinear
  • Graphs
  • Linearity

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Presentation Transcript


  1. 4-3 Patterns and Nonlinear Functions

  2. Nonlinear Function: a function whose graph is not a line or part of a line

  3. Problem 1: Classifying Functions as Linear or Nonlinear The area A, in square inches, of a pizza is a function of its radius r, in inches. The cost C, in dollars, of the sauce for a pizza is a function of the weight w, in ounces, of sauce used. Graph these functions shown by the tables below. Is each function linear or nonlinear?

  4. Graphs for Problem 1

  5. Graph the function. Tell whether the function is linear or nonlinear x y 0 3 1 5 2 7 3 9

  6. Graph the function. Tell whether the function is linear or nonlinear x y 0 0 1 2 2 -4 3 7

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