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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.
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.
First, graph the linear function (xf) = 2x for x < 2. Since 2 does not satisfy this inequality, stop with a circle at (2, 4). Next, graph the linear function f(x) = x - 1 for x ≥ 2. Since 2 does satisfy this inequality, begin with a dot at (2, 1). Exercises Graph each function. Identify the domain and range. 1. f (x) = 2. f (x) = 3. h(x) = O ...
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.
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.
How to evaluate and graph the greatest integer function, step function or floor function, explains the properties and characteristics of the Greatest Integer Function, its equation, and its graph, examples and step by step solutions, PreCalculus
