-8(4x2-3) (4x2+3)2 • 9) Suppose f has one critical point at x = 0 and f"(x) = Use calculus to answe the following questions. Do not use the graph of f to explain your answer. а) Identify any points of inflection of f and show how you know it's a point of inflection. b) Where is f concave up? Identify the location of any local extrema. Be sure to state whether there is a local max or min at that location. c)

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-8(4x²-3)
(4x²+3)2 •
9)
Suppose f has one critical point at x = 0 and f"(x)
Use calculus to answer
the following questions. Do not use the graph of f to explain your answer.
a)
Identify any points of inflection of f and show how you know it's a point of inflection.
b)
Where is f concave up?
c)
Identify the location of any local extrema. Be sure to state whether there is a local max
or min at that location.
Transcribed Image Text:-8(4x²-3) (4x²+3)2 • 9) Suppose f has one critical point at x = 0 and f"(x) Use calculus to answer the following questions. Do not use the graph of f to explain your answer. a) Identify any points of inflection of f and show how you know it's a point of inflection. b) Where is f concave up? c) Identify the location of any local extrema. Be sure to state whether there is a local max or min at that location.
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