► My Precalculus course: https://www.kristakingmath.com/precalculus-course
The domain of a function is the full set of values for which the independent variable (usually x) is defined. The range of a function is the full set of values that will be returned to you if you plug in every value from the domain.
Therefore, when you're looking for the domain and range of a function, you want to find the domain first, and then use any limitations from the domain to find the range.
When you're working on the domain, instead of trying to find all of the values that are included, look for all of the values that should be excluded. For example, values of x that would make an expression underneath a square root negative, or values that would make a denominator zero. These are values that should be excluded from the domain, and the exclusion of the values will of course effect the range as well.
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If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
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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: domain, ,domain range,expert,calculus,precalculus,educational,Krista King
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