Asked by 01236
Which is the graph of f(x) = Negative RootIndex 3 StartRoot x EndRoot?
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes through (8, 2).
On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8).
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
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GPT-5 mini
AI
The third graph.
Reason: ∛8 = 2 and ∛(−8) = −2, so f(8) = −∛8 = −2 and f(−8) = −∛(−8) = 2. Thus the graph goes through (−8, 2), (0,0), (8, −2), which is the third option.
Reason: ∛8 = 2 and ∛(−8) = −2, so f(8) = −∛8 = −2 and f(−8) = −∛(−8) = 2. Thus the graph goes through (−8, 2), (0,0), (8, −2), which is the third option.
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