► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course
In order to find the domain of a function, you have to be able to say where a function is continuous and discontinuous. A function will be continuous wherever it isn't discontinuous, so to figure out where the function is continuous, we just need to find all the points of discontinuity.
A function is discontinuous wherever it's undefined, or wherever the one-sided limits (left- and right-hand limits) aren't equal to each other. Functions will be undefined whenever a denominator is equal to 0, whenever the value inside a square root is negative, whenever the value inside a natural log is negative, etc.
Once we find all of the points at which the function is discontinuous, we can say that the function is continuous at all other points. Since the domain of the function is defined everywhere the function is continuous, we can say that the domain of the function is all of the points where the function is continuous.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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Tagged under: limits continuity,expert,calculus,educational,Krista King,discontinuities,domain, ,continuity
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