Asked by melany
Which would be the most suitable viewing window to solve the system below?
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mc001-2.jpg
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All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the images you attached. Could you either paste the system of equations here or re-upload the images?
If you want to pick a viewing window yourself, here’s a quick method you can follow:
1. Let h(x) = f1(x) − f2(x). The intersections are roots of h(x).
2. Evaluate h(x) at a few x-values (start with integers) to find where h changes sign — those x intervals contain intersections.
3. Choose x-min a little left of the leftmost sign-change and x-max a little right of the rightmost sign-change.
4. Compute f1 and f2 at those x endpoints and at any intermediate estimates; pick y-min and y-max to comfortably include those function values (add a 10–20% margin).
5. If functions have vertical asymptotes, rapid growth (exponential), or oscillation (trig), pick a tighter x-range around intersections and a larger y-range if values grow fast.
If you post the equations (or re-upload the images), I’ll compute a specific recommended window and the intersection(s).
If you want to pick a viewing window yourself, here’s a quick method you can follow:
1. Let h(x) = f1(x) − f2(x). The intersections are roots of h(x).
2. Evaluate h(x) at a few x-values (start with integers) to find where h changes sign — those x intervals contain intersections.
3. Choose x-min a little left of the leftmost sign-change and x-max a little right of the rightmost sign-change.
4. Compute f1 and f2 at those x endpoints and at any intermediate estimates; pick y-min and y-max to comfortably include those function values (add a 10–20% margin).
5. If functions have vertical asymptotes, rapid growth (exponential), or oscillation (trig), pick a tighter x-range around intersections and a larger y-range if values grow fast.
If you post the equations (or re-upload the images), I’ll compute a specific recommended window and the intersection(s).
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