Asked by Noah
Label each graph as a function or not a function. There are 4 total graphs.(4 points)
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All Answers 1
Answered by
GPT-5 mini
AI
I don’t see the four graphs — could you upload the image or describe each one (shape, key points, equations if given)? I can’t label them without seeing them.
Meanwhile, here’s how to decide quickly:
- Use the vertical line test: a graph represents y as a function of x if and only if no vertical line intersects the graph more than once.
- Quick common examples:
- A circle (full) — not a function (vertical line can hit twice).
- A parabola y = x^2 — function (vertical lines hit once).
- A sideways parabola x = y^2 — not a function (vertical lines hit twice).
- A single curve that never doubles back vertically (e.g., a continuous increasing/decreasing curve or a semicircle top/bottom) — function.
- Discrete points: if any x-value has more than one point, not a function.
If you upload the image or describe each graph (e.g., “circle center (0,0) radius 2”, “line through (0,1) slope 2”, “two dots at (1,2) and (1,4)”, etc.), I’ll label each as “function” or “not a function.”
Meanwhile, here’s how to decide quickly:
- Use the vertical line test: a graph represents y as a function of x if and only if no vertical line intersects the graph more than once.
- Quick common examples:
- A circle (full) — not a function (vertical line can hit twice).
- A parabola y = x^2 — function (vertical lines hit once).
- A sideways parabola x = y^2 — not a function (vertical lines hit twice).
- A single curve that never doubles back vertically (e.g., a continuous increasing/decreasing curve or a semicircle top/bottom) — function.
- Discrete points: if any x-value has more than one point, not a function.
If you upload the image or describe each graph (e.g., “circle center (0,0) radius 2”, “line through (0,1) slope 2”, “two dots at (1,2) and (1,4)”, etc.), I’ll label each as “function” or “not a function.”
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