Question

Which graph represents an exponential function?

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Answer 1

I can’t see the four images you listed. Please either upload them or describe each graph (shape, asymptotes, points like where it crosses the y‑axis, whether it has a vertex, etc.).

Meanwhile, here are quick rules to identify an exponential graph so you can pick it yourself:

- Exponential form y = a·b^x (with b>0, b≠1) is always curved and monotonic (always increasing if b>1, always decreasing if 0<b<1).
- There is a horizontal asymptote (usually y=0 if a>0, shifted if there's a vertical translation).
- The function typically does NOT have a maximum or minimum interior point (no vertex like a parabola).
- The y‑values change multiplicatively as x increases (equal increments in x produce equal ratios of y, not equal differences).
- If a>0, y never crosses or hits the x‑axis (range is (0, ∞)); it will cross the y‑axis at (0, a).
- If you can read three points (x=0,1,2) from the graph: compute y1/y0 and y2/y1 — for an exponential these ratios should be equal.

If you post the images or give descriptions (e.g., “curve approaching y=0 from above, passing through (0,2)” or “parabola opening up”), I’ll tell you which one is exponential.