Consider the following. f(x) = 4 – 8x - x² Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.) O There is a discontinuity at x = c where f(c) is not defined. O There is a discontinuity at x = c where lim f(x) * f(c). O There is a discontinuity at x = c where lim f(x) does not exist. O There are no discontinuities; f(x) is continuous.

Consider the following. f(x) = 4 – 8x - x² Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.) O There is a discontinuity at x = c where f(c) is not defined. O There is a discontinuity at x = c where lim f(x) * f(c). O There is a discontinuity at x = c where lim f(x) does not exist. O There are no discontinuities; f(x) is continuous.

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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