Question

I have a continuity question with absolute value in an attachment. Can somebody please help?

Answer 1

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Answer 2

I'm not opening up your document... O.o

Answer 3

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Answer 4

Can anyone open it and help? :(

Answer 5

Consider the following.\[
f(x) = 
\frac{|7 − x|}
{7 − x}
\]
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.)

Answer 6

The function is undefined at \(x=7\).

Answer 7

Or rather, it is undefined at \(7-x=0\), meaning \(x=7\).

Answer 8

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.)

Answer 9

In this case the function \(f(7)\) is not defined.

Answer 10

Thank you.