3. We define the floor function [[x]] to be the greatest integer not exceeding a . For example, [4]] = 4, [[2.37]] = 2, [[-1]] = -1, [[–1.2]] = -2. Sketch by hand the graph of y = [[x]] by first tabulating the values of [[x]] for several numbers x. Then compare your graph with the plot form the grapher. What are the discontinuities of f (x) = [[a]] where the domain of x is -2.3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 79E
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3. We define the floor function [[x]] to be the greatest integer not exceeding a
. For example, [4]] = 4, [[2.37]] = 2, [[-1]] = -1, [[–1.2]] = -2. Sketch by
hand the graph of y = [[x]] by first tabulating the values of [[x]] for several
numbers x. Then compare your graph with the plot form the grapher.
What are the discontinuities of f (x) = [[a]] where the domain of x is
-2.3 <x < 1.5? Are these removable discontinuities? At the numbers x
where f(x) is not continuous, is f(x) continuous from the right? Is f(x)
continuous from the left?
Transcribed Image Text:3. We define the floor function [[x]] to be the greatest integer not exceeding a . For example, [4]] = 4, [[2.37]] = 2, [[-1]] = -1, [[–1.2]] = -2. Sketch by hand the graph of y = [[x]] by first tabulating the values of [[x]] for several numbers x. Then compare your graph with the plot form the grapher. What are the discontinuities of f (x) = [[a]] where the domain of x is -2.3 <x < 1.5? Are these removable discontinuities? At the numbers x where f(x) is not continuous, is f(x) continuous from the right? Is f(x) continuous from the left?
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