Form 3: Identifying Linear Functions from Tables Exercise

Form 3: Identifying Linear Functions from Tables

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Form 3: Identifying Linear Functions from Tables

Analyze data in tables of values to determine if they represent a linear function. Check for a constant rate of change between variables across the given points.

Questions

  1. MultiChoice

    Which property in a table of values confirms a function is linear?

  2. MultiChoice

    Which table of (x, y) pairs represents a linear function?

  3. MultiChoice

    Which table of values represents a NON-linear function?

  4. MultiChoice

    If x increases by 1 and y increases by 3 consistently, what is the rate of change?

  5. MultiChoice

    A table has y values 2, 5, 10, 17 for x = 1, 2, 3, 4. Is this function linear or non-linear?

  6. MultiChoice

    Which set of ordered pairs shows a constant rate of change?

  7. MultiChoice

    When x increases by 2, y decreases by 4 every time. What type of function is this?

  8. MultiChoice

    What is the constant rate of change for the table: (0, 8), (2, 4), (4, 0), (6, -4)?

  9. MultiChoice

    Which pattern of y-values (for x = 1, 2, 3, 4) indicates a NON-linear function?

  10. MultiChoice

    For a linear function, if (1, 5) and (2, 8) are points, what is y when x = 3?

  11. MultiChoice

    If change in y divided by change in x is always 2.5, the function is:

  12. MultiChoice

    How can you tell a function is linear from first differences of y (with evenly spaced x)?