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Draw the graph of a single function f(x) with all of the following simultaneously. (You need not define the function algebraically.) Explain why your function fits the criteria. • A horizontal asymptote at y = 2. • The function is not bounded as x decreases. • lim f(x) = o. x→3 • f (x) has a removable discontinuity at x = 4. • f (x) has a jump discontinuity at x = -3. • f(x) has a discontinuity at x jump, infinite, or a discontinuity because of a smooth oscillation like sin(1/x). = -8 that is not any of the following: removable,

Draw the graph of a single function f(x) with all of the following simultaneously. (You need not define the function algebraically.) Explain why your function fits the criteria. • A horizontal asymptote at y = 2. • The function is not bounded as x decreases. • lim f(x) = o. x→3 • f (x) has a removable discontinuity at x = 4. • f (x) has a jump discontinuity at x = -3. • f(x) has a discontinuity at x jump, infinite, or a discontinuity because of a smooth oscillation like sin(1/x). = -8 that is not any of the following: removable,

College Algebra (MindTap Course List)
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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Draw the graph of a single function f(x) with all of the following simultaneously. (You need not define the function algebraically.) Explain why your function fits the criteria. • A horizontal asymptote at y = 2. • The function is not bounded as x decreases. • lim f(x) = ∞. x→3 • f(x) has a removable discontinuity at x = = 4. • f(x) has a jump discontinuity at x = f (x) has a discontinuity at x = -8 that is not any of the following: removable, jump, infinite, or a discontinuity because of a smooth oscillation like sin(1/x). -3.
Transcribed Image Text:Draw the graph of a single function f(x) with all of the following simultaneously. (You need not define the function algebraically.) Explain why your function fits the criteria. • A horizontal asymptote at y = 2. • The function is not bounded as x decreases. • lim f(x) = ∞. x→3 • f(x) has a removable discontinuity at x = = 4. • f(x) has a jump discontinuity at x = f (x) has a discontinuity at x = -8 that is not any of the following: removable, jump, infinite, or a discontinuity because of a smooth oscillation like sin(1/x). -3.
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