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  1. 7 Νοε 2009 · THE GREATEST INTEGER FUNCTION - THE BEGINNING DEFINITION. The function f: R !Z given by f(x) = [x], where [x] denotes the largest integer not exceeding x, is called the greatest integer function. EXAMPLES. [2:1] = 2, [4:57] = 4, [8] = 8, [ 2] = 2, [ 3:4] = 4, etc. NOTE. The square bracket notation [x] for the greatest integer function was ...

  2. Greatest Integer Function Worksheet with Answers. Explain the shift in each graph and how they differ. Explain the dilation in each graph and how they differ. Explain the reflection in these graphs and how they differ. follows: $2.00 up to and including ½ mile, $0.70 for each additional ½ mile increment.

  3. Translating Graphs of Greatest Integer Functions: Using what you learned about the translations of . y = a|b(x – h)| + k, graph the following: (7) f (x) = [[x]] + 2 g (x) = [[x + 2]] Explain the shift in each graph and how they differ. (8) f(x) = 2[[x]] g(x) = [[2x]] Explain the dilation in each graph and how they differ.

  4. Greatest Integer Function: The function that assigns to each real number the greatest integer less than or equal to the number. Example: US postage is sold by weight, a stamp costs a specific price for up through a specific

  5. Greatest integer function is a function that gives the greatest integer less than or equal to a given number. The greatest integer less than or equal to a number x is represented as ⌊x⌋. We will round off the given number to the nearest integer that is less than or equal to the number itself.

  6. Use the greatest integer function to create a model for the cost C of overnight delivery of a package weighing x pounds. Sketch the graph for packages up to 7 pounds. Make a table of values and sketch the graph of the resulting function.

  7. Use the greatest integer function to create a model for the cost C of overnight delivery of a package weighing x pounds. Sketch the graph for packages up to 7 pounds. Make a table of values and sketch the graph of the resulting function. Function: Find the cost of sending a 15 pound 9 ounce package.

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