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Linear vs Nonlinear Functions

Check linear or nonlinear for each function, then say why. A linear function fits y = mx + b (a straight line); anything else is nonlinear.

ExampleIs y = −2x + 6 a linear or nonlinear function?
linearnonlinear
Why? x is to the first power, so its graph is a straight line
  1. 1.Is y = −2x + 3 a linear or nonlinear function?
    linearnonlinear
    Why?
  2. 2.Is y = x³ a linear or nonlinear function?
    linearnonlinear
    Why?
  3. 3.Is y = −3x + 3 a linear or nonlinear function?
    linearnonlinear
    Why?
  4. 4.Is y = −2x a linear or nonlinear function?
    linearnonlinear
    Why?
  5. 5.Is y = 3x a linear or nonlinear function?
    linearnonlinear
    Why?