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Study with Quizlet and memorize flashcards containing terms like f(x)+a, f(x)-a, f(x-a) and more.
Study with Quizlet and memorize flashcards containing terms like Graph y = [x+3], Graph y = -[x]-2, Graph y = 2[x-1] and more.
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.
The given function is in the form of y - a = [x - b]. 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.
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.
Study with Quizlet and memorize flashcards containing terms like y = [x+3], y = 2[x-1], y = -3[x] and more.
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.
