Form 9: Rate of Change Analysis in Functions Exercise

Form 9: Rate of Change Analysis in Functions

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Form 9: Rate of Change Analysis in Functions

Analyze the rate of change across various functions to classify them as linear or non-linear. Determine whether a function increases or decreases at a constant or variable rate.

Questions

  1. MultiChoice

    What term refers to the constant rate of change in a linear function?

  2. MultiChoice

    Which statement is true for ALL non-linear functions?

  3. MultiChoice

    What formula calculates the rate of change between two points (x1, y1) and (x2, y2)?

  4. MultiChoice

    Which set of calculated slopes between consecutive points indicates a NON-linear function?

  5. MultiChoice

    If the rate of change delta y / delta x is always -3, the function is a:

  6. MultiChoice

    For y = 4x - 5, what is the rate of change?

  7. MultiChoice

    For y = x^2, how does the rate of change behave as x increases from 1 to 3?

  8. MultiChoice

    In y = 10 - 0.5x, what is the constant rate of change?

  9. MultiChoice

    A graph has slope 2 from x=0 to x=2, and slope 4 from x=2 to x=4. The graph is:

  10. MultiChoice

    Why does any pair of points on a line yield the same slope?

  11. MultiChoice

    A function's rate of change doubles with each increment of x. The function is:

  12. MultiChoice

    What is the rate of change for the horizontal linear function y = 7?