Domains and ranges
- Thread starter minisue1
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mmm4444bot
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There is no general rule, for finding domains and ranges.
There are different methods because there are different types of functions. Even within the group of rational functions, there are different types -- and questions about range may be answered differently, depending on the type of function. I don't know what your class is or what it's doing. (Are you in Pre-Calculus?)
Your two examples mention only the range; so, did you already determine those domains? All polynomials have the set of Real numbers for their domain, so when we divide one polynomial by another (creating a rational function), the only domain consideration is to exclude any Real numbers that cause the denominator to be zero. Make sense?
What have you learned so far about "range" ? Has your class studied rational functions in general, and their graphs? Have you learned what an asymptote is?
I don't know what you already know, and I don't know where you're stuck. Can you show what you tried or explain what you've thought about?
Did you graph those functions? Has your class ever used technology, zooming-in on interesting points, to get coordinates?
If you were to simply guess (based on what you see from a good graph), what could you say about the range of each?
I'll tell you that the boundary points in both ranges occur at Integer values of x ... (that's a hint!) :cool:
Please check out our posting guidelines, when you have a chance. You may begin at this summary page. Cheers
There are different methods because there are different types of functions. Even within the group of rational functions, there are different types -- and questions about range may be answered differently, depending on the type of function. I don't know what your class is or what it's doing. (Are you in Pre-Calculus?)
Your two examples mention only the range; so, did you already determine those domains? All polynomials have the set of Real numbers for their domain, so when we divide one polynomial by another (creating a rational function), the only domain consideration is to exclude any Real numbers that cause the denominator to be zero. Make sense?
What have you learned so far about "range" ? Has your class studied rational functions in general, and their graphs? Have you learned what an asymptote is?
I don't know what you already know, and I don't know where you're stuck. Can you show what you tried or explain what you've thought about?
Did you graph those functions? Has your class ever used technology, zooming-in on interesting points, to get coordinates?
If you were to simply guess (based on what you see from a good graph), what could you say about the range of each?
I'll tell you that the boundary points in both ranges occur at Integer values of x ... (that's a hint!) :cool:
Please check out our posting guidelines, when you have a chance. You may begin at this summary page. Cheers
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