- Consider the following Describe the interval (s) on which the function is cont

Question

- Consider the following 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. (Stll that apply. Select each choice if it is met for any of the discontinuities.) There is a discontinuity at x = c where rc) is not defined O There is a discontinuity at x = c where lim c) There is a discontinuity at x-c where lim x) does not exist. O There are no discontinuities; fx) is continuous. 6· +)-4.6 points LarCAApCalc2 7.2.018 Consider the following x-7 x2- 49 x) = 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.) There is a discontinuity at x = c where c) is not defined There is a discontinuity at x-c where lim/(x) c) O There is a discontinuity at x = c where lim ) does not exist. O There are no discontiuties; fx) is continuous.

Explanation / Answer

f(x)=4-6x-x2

There is no restriction on x. Therefore the function is continuous everywhere that is (-infinity,infinity)

There are no discontinuities, f(x) is continuous

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