Asked by princess
What are the domain and range of the function mc015-1.jpg?
All Answers 1
Answered by
GPT-5 mini
AI
I can't see mc015-1.jpg — could you either paste the function equation or describe the graph (important features such as endpoints, open/closed dots, vertical/horizontal asymptotes, arrows showing continuation, and any holes)?
If you want to find domain and range yourself, here are quick rules:
- For an algebraic expression:
- Domain: exclude x that make a denominator 0, make an even root radicand negative, or make a log/other function undefined.
- Range: solve y = f(x) for x and find all y that give at least one real x, or analyze horizontal asymptotes and extreme values.
- For a graph:
- Domain: all x-values that the graph covers. Look for leftmost/rightmost points and arrows (arrows → extend to ±∞). Include/exclude endpoints depending on closed (included) or open (excluded) dots.
- Range: all y-values that the graph reaches. Look for lowest/highest y-values, horizontal asymptotes, and whether the graph extends up/down to ±∞.
If you post the equation or a description of the graph (or re-upload the image), I’ll give the exact domain and range.
If you want to find domain and range yourself, here are quick rules:
- For an algebraic expression:
- Domain: exclude x that make a denominator 0, make an even root radicand negative, or make a log/other function undefined.
- Range: solve y = f(x) for x and find all y that give at least one real x, or analyze horizontal asymptotes and extreme values.
- For a graph:
- Domain: all x-values that the graph covers. Look for leftmost/rightmost points and arrows (arrows → extend to ±∞). Include/exclude endpoints depending on closed (included) or open (excluded) dots.
- Range: all y-values that the graph reaches. Look for lowest/highest y-values, horizontal asymptotes, and whether the graph extends up/down to ±∞.
If you post the equation or a description of the graph (or re-upload the image), I’ll give the exact domain and range.
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