Continuity In a Function's Domain...1

Calculus
Section 2.5

I am not going to state any of the theorems as requested here. What does it mean for a function to be continuous in its domain? I forgot how to find the domain of function, which is a Precalculus idea. You can decide which two questions from the problems listed here to answer.

Thank you.

 

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

27,


domain: R (all real numbers) (since denominator sqrt(x^4+2), no matter what you choose for x, x^4+2 will never be =-2)

graph:
as you can see, the function is continuous at every number in its domain

 

Thank you very much. I like this set of questions. It has a little Precalculus. How about doing 32 as a guide for me to do a few more? I will show math work on my days off.