Assume the function f is ditferenšable over the interval (-,o) Classify the foll

Question

Assume the function f is ditferenšable over the interval (-,o) Classify the following statement as either true or false If the statement is false, explain why A function f can have no extrema but sil have at least one point of inflecšion Select the correct choice below 0 A. The statement is true B. The statement is false If a functon has a point of infecton it must have at least one trema O C. The statement is false H a function has no extrema, it cannot have a point of inlectiorn O D. The statement is false All functions have at least one extrema and one point of inflection Click to select your answer

Explanation / Answer

The statement is true.

It's possible to have one inflection point without any extrema.

If you want to check the take f(x) = x^3

Which is diffrendiffere in R

No extrema

And a point of inflection at x= 0

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