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AP®︎/College Calculus AB

Lesson 7: Determining concavity of intervals and finding points of inflection: algebraic

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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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?

(Choice A)
0, is less than, x, is less than, start fraction, 2, divided by, 5, end fraction only
(Choice B)
x, is greater than, 5 only
(Choice C)
x, is less than, minus, 2 and x, is greater than, minus, start fraction, 2, divided by, 3, end fraction
(Choice D)
x, is less than, minus, start fraction, 5, divided by, 2, end fraction and x, is greater than, 0

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