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Analyze concavity

AP.CALC: FUN‑4 (EU), FUN‑4.A (LO), FUN‑4.A.4 (EK), FUN‑4.A.5 (EK), FUN‑4.A.6 (EK)
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Problem

g, left parenthesis, x, right parenthesis, equals, minus, 5, x, start superscript, 4, end superscript, plus, 4, x, cubed, minus, 20, x, minus, 20.
On which intervals is the graph of g concave up?
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