a. f (x) at x=1 is continuous. Because f (x) at x=1 has a finite value of 2. This means the function is defined at x=1

b. f(x) at x =2 is not continuous because at x=2 , f(x) does not exist or indefinite. This means the function is not defined at x=2

c. f ( x) at x= 4 is continuous because f(x) at x=4 has a finite value of 1. This means the function is defined at x=4.

I have answered your question.

Niru

Please correct the answer for a as follows.

f (x) at x= -1 is discontinuous because at x= -1, f(x) does not exist. This means the function is not defined at x= -1

Sorry about that.

Thank you so much Niru, will be submitting another question in a few. Just got the gold pro plan I like you guys so much. Thanks for all the help.

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