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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.
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.
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.
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 ...
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.
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
The Greatest Integer Function. The following theorem is an extension of the Well-Ordering Axiom. It will be used to justify the definition of the greatest integer function. Theorem. (a) Suppose S is a nonempty set of integers which is bounded below: There is an integer M such that. x > M for all x ∈ S. Then S has a smallest element.
