Form 10: Absolute Value vs Linear Functions Exercise

Form 10: Absolute Value vs Linear Functions

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Form 10: Absolute Value vs Linear Functions

Distinguish between absolute value functions and linear functions. Examine their equations, graphs, and rates of change to classify each function type accurately.

Questions

  1. MultiChoice

    Which equation contains an absolute value and is non-linear overall?

  2. MultiChoice

    What shape does the graph of y = |x - 3| form?

  3. MultiChoice

    Why is y = |x| considered non-linear over its entire domain?

  4. MultiChoice

    Which equation is linear?

  5. MultiChoice

    At what point does the slope of y = |x| change sign?

  6. MultiChoice

    Which equation represents a non-linear function?

  7. MultiChoice

    An absolute value graph consists of two linear rays meeting at a vertex. Overall, the function is:

  8. MultiChoice

    Which of these is a linear function?

  9. MultiChoice

    How does the slope of y = |x| behave for x < 0 versus x > 0?

  10. MultiChoice

    Which equation is non-linear?

  11. MultiChoice

    A function has table values (-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2). It is:

  12. MultiChoice

    What distinguishes y = x from y = |x|?