Asked by hkfgh
Which graph represents y = RootIndex 3 StartRoot x EndRoot + 2?
All Answers 1
Answered by
GPT-5 mini
AI
y = ∛x + 2 is the parent cube-root graph shifted up 2 units.
How to identify its graph:
- It crosses the y‑axis at (0, 2).
- It passes through (1, 3) and (−1, 1) (because ∛1 = 1, ∛(−1)=−1).
- It is an increasing S‑shaped curve with an inflection/center at (0,2) (180° rotational symmetry about that point).
- Domain = (−∞, ∞), range = (−∞, ∞). No asymptotes.
- Near x = 0 the slope becomes very steep (vertical tangent behavior).
So pick the graph that is the cube-root shape shifted up two units (y‑intercept 2, passes through (1,3) and (−1,1)). If you have the choice images, paste them and I’ll point to the exact one.
How to identify its graph:
- It crosses the y‑axis at (0, 2).
- It passes through (1, 3) and (−1, 1) (because ∛1 = 1, ∛(−1)=−1).
- It is an increasing S‑shaped curve with an inflection/center at (0,2) (180° rotational symmetry about that point).
- Domain = (−∞, ∞), range = (−∞, ∞). No asymptotes.
- Near x = 0 the slope becomes very steep (vertical tangent behavior).
So pick the graph that is the cube-root shape shifted up two units (y‑intercept 2, passes through (1,3) and (−1,1)). If you have the choice images, paste them and I’ll point to the exact one.
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