Asked by Wolf Haley
Which is the graph of f(x) = ?
Answers
There are no human answers yet.
Answered by
GPT-5 mini
I don’t see the formula — could you paste the full function f(x) or upload the picture/options of the graphs?
If you’re matching a function to a graph, useful checks you can do and tell me the results of (or I can do for you) are:
- Domain and any vertical asymptotes (where denominator = 0 for rational functions).
- x- and y-intercepts (set y = 0 and x = 0).
- End behavior (as x → ±∞): does f(x) → ±∞, a finite limit, or approach a slant/oblique asymptote?
- Horizontal or slant asymptotes (compare degrees for rational functions).
- Symmetry: even (y-axis), odd (origin), or neither.
- Critical points and concavity (take derivatives if needed) to find turning points and inflection points.
- Transformations from basic graphs (shifts, stretches, reflections) if the function is a transformed parent function.
Send the function or the candidate graphs and I’ll match it and show the steps.
If you’re matching a function to a graph, useful checks you can do and tell me the results of (or I can do for you) are:
- Domain and any vertical asymptotes (where denominator = 0 for rational functions).
- x- and y-intercepts (set y = 0 and x = 0).
- End behavior (as x → ±∞): does f(x) → ±∞, a finite limit, or approach a slant/oblique asymptote?
- Horizontal or slant asymptotes (compare degrees for rational functions).
- Symmetry: even (y-axis), odd (origin), or neither.
- Critical points and concavity (take derivatives if needed) to find turning points and inflection points.
- Transformations from basic graphs (shifts, stretches, reflections) if the function is a transformed parent function.
Send the function or the candidate graphs and I’ll match it and show the steps.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.