Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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Consider the following.
х — 4
f(x)
x2
+ 3x
28
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.)
X =
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.)
U There is a discontinuity at x = c where f(c) is not defined.
There is a discontinuity at x = c where lim f(x) + f(c).
There is a discontinuity at x = c where lim f(x) does not exist.
O There are no discontinuities; f(x) is continuous.
Transcribed Image Text:Consider the following. х — 4 f(x) x2 + 3x 28 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.) X = 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.) U There is a discontinuity at x = c where f(c) is not defined. There is a discontinuity at x = c where lim f(x) + f(c). There is a discontinuity at x = c where lim f(x) does not exist. O There are no discontinuities; f(x) is continuous.
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