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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.
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.
Evaluate each function for the given value. 1) f (x) = 4x + 6; Find f (0) 2) f (x) = x + 2; Find f (7) 3) f (x) = -3x - 5; Find f (-8 3) 4) f (x) = 4x - 4; Find f (1 3) 5) f (x) = -4x - 1; Find f (-1.9) 6) f (x) = 4x - 1; Find f (-1.6) 7) f (x) = -x - 1 + 5; Find f (-6) 8) f (x) = x + 5 - 2; Find f (6) 9) f (x) = -x2 - 8x - 12; Find f (-2) 10 ...
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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.
Let y = 0 and x - 2 = 0. Then, y = 0 and x = 2. From y = 0, there is no vertical shift. From x = 2, we have an horizontal shift of 2 units to the right. So each point of the parent function to be shifted 2 units to the right. If we do the above transformation, we will have a graph as given below.
